Number

1,232

1,232 is a composite number, even, a calendar year.

1,232 (one thousand two hundred thirty-two) is an even 4-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 11. Its proper divisors sum to 1,744, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCXXXII and in binary, 10011010000.

Abundant Number Consecutive Digits Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,220 1,221 1,222 1,223 1,224 1,225 1,226 1,227 1,228 1,229 1,230 1,231 1,232 1,233 1,234 1,235 1,236 1,237 1,238 1,239 1,240 1,241 1,242 1,243 1,244

less more

Historical context — 1232 AD

Calendar year

Year 1232 (MCCXXXII) was a leap year starting on Thursday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 1232
Ended on: Friday
December 31, 1232
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1230s
1230–1239
Century: 13th century
1201–1300
Millennium: 2nd millennium
1001–2000
Years ago: 794
794 years before 2026.

In other calendars

Hebrew: 4992 / 4993 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 629 / 630 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1775 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 610 / 611 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1224 / 1225 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1154 / 1153 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 8
Digit product: 12
Digital root: 8
Palindrome: No
Bit width: 11 bits
Reversed: 2,321
Recamán's sequence: a(8,524) = 1,232
Square (n²): 1,517,824
Cube (n³): 1,869,959,168
Divisor count: 20
σ(n) — sum of divisors: 2,976
φ(n) — Euler's totient: 480
Sum of prime factors: 26

Primality

Prime factorization: 2 ⁴ × 7 × 11

Nearest primes: 1,231 (−1) · 1,237 (+5)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 7 · 8 · 11 · 14 · 16 · 22 · 28 · 44 · 56 · 77 · 88 · 112 · 154 · 176 · 308 · 616 (half) · 1232

Aliquot sum (sum of proper divisors): 1,744

Factor pairs (a × b = 1,232)

1 × 1232

2 × 616

4 × 308

7 × 176

8 × 154

11 × 112

14 × 88

16 × 77

22 × 56

28 × 44

First multiples

1,232 · 2,464 (double) · 3,696 · 4,928 · 6,160 · 7,392 · 8,624 · 9,856 · 11,088 · 12,320

Sums & aliquot sequence

As consecutive integers: 173 + 174 + … + 179 107 + 108 + … + 117 23 + 24 + … + 54

Aliquot sequence: 1,232 → 1,744 → 1,666 → 1,412 → 1,066 → 698 → 352 → 404 → 310 → 266 → 214 → 110 → 106 → 56 → 64 → 63 → 41 — unresolved within range

Continued fraction of √n

√1,232 = [35; (10, 70)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one thousand two hundred thirty-two
Ordinal: 1232nd
Roman numeral: MCCXXXII
Binary: 10011010000
Octal: 2320
Hexadecimal: 0x4D0
Base64: BNA=
One's complement: 64,303 (16-bit)
Scientific notation: 1.232 × 10³
As a duration: 1,232 s = 20 minutes, 32 seconds

In other bases

ternary (3) 1200122

quaternary (4) 103100

quinary (5) 14412

senary (6) 5412

septenary (7) 3410

nonary (9) 1618

undecimal (11) a20

duodecimal (12) 868

tridecimal (13) 73a

tetradecimal (14) 640

pentadecimal (15) 572

Palindromic in base 12

As an angle

1,232° = 3 × 360° + 152°

152° ≈ 2.653 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ασλβʹ
Mayan (base 20): 𝋣·𝋡·𝋬
Chinese: 一千二百三十二
Chinese (financial): 壹仟貳佰參拾貳

In other modern scripts

Eastern Arabic ١٢٣٢ Devanagari १२३२ Bengali ১২৩২ Tamil ௧௨௩௨ Thai ๑๒๓๒ Tibetan ༡༢༣༢ Khmer ១២៣២ Lao ໑໒໓໒ Burmese ၁၂၃၂

Digit at this position in famous constants

π — Pi (π): Digit 1,232 = 9
e — Euler's number (e): Digit 1,232 = 7
φ — Golden ratio (φ): Digit 1,232 = 1
√2 — Pythagoras's (√2): Digit 1,232 = 6
ln 2 — Natural log of 2: Digit 1,232 = 7
γ — Euler-Mascheroni (γ): Digit 1,232 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1232, here are decompositions:

3 + 1229 = 1232
19 + 1213 = 1232
31 + 1201 = 1232
61 + 1171 = 1232
79 + 1153 = 1232
103 + 1129 = 1232
109 + 1123 = 1232
139 + 1093 = 1232

Showing the first eight; more decompositions exist.

Unicode codepoint

Cyrillic Capital Letter A With Breve

U+04D0

Uppercase letter (Lu)

UTF-8 encoding: D3 90 (2 bytes).

Lookup U+04D0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0004D0

RGB(0, 4, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.208.

Address: 0.0.4.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.4.208

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 1,232 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯6 (1244.5 Hz, -17¢)
Scientific pitch (C4 = 256 Hz): D♯6 (1217.7 Hz, +20¢)
Baroque pitch (A4 = 415 Hz): E6 (1243.6 Hz, -16¢)

Position in π

The digit sequence 1232 first appears in π at position 6,548 of the decimal expansion (the 6,548ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1232 on Pi Search ↗