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Number

1,224

1,224 is a composite number, even, a calendar year.

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

Historical context — 1224 AD

Calendar year

Year 1224 (MCCXXIV) was a leap year starting on Monday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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
52
Started on
Monday
January 1, 1224
Ended on
Tuesday
December 31, 1224
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1220s
1220–1229
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
802
802 years before 2026.

In other calendars

Hebrew
4984 / 4985 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
620 / 621 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1767 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
602 / 603 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1216 / 1217 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1146 / 1145 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
9
Digit product
16
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
4,221
Recamán's sequence
a(8,540) = 1,224
Square (n²)
1,498,176
Cube (n³)
1,833,767,424
Divisor count
24
σ(n) — sum of divisors
3,510
φ(n) — Euler's totient
384
Sum of prime factors
29

Primality

Prime factorization: 2 3 × 3 2 × 17

Nearest primes: 1,223 (−1) · 1,229 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 17 · 18 · 24 · 34 · 36 · 51 · 68 · 72 · 102 · 136 · 153 · 204 · 306 · 408 · 612 (half) · 1224
Aliquot sum (sum of proper divisors): 2,286
Factor pairs (a × b = 1,224)
1 × 1224
2 × 612
3 × 408
4 × 306
6 × 204
8 × 153
9 × 136
12 × 102
17 × 72
18 × 68
24 × 51
34 × 36
First multiples
1,224 · 2,448 (double) · 3,672 · 4,896 · 6,120 · 7,344 · 8,568 · 9,792 · 11,016 · 12,240

Sums & aliquot sequence

As a sum of two squares: 18² + 30²
As consecutive integers: 407 + 408 + 409 132 + 133 + … + 140 69 + 70 + … + 84 64 + 65 + … + 80
Aliquot sequence: 1,224 2,286 2,706 3,342 3,354 4,038 4,050 7,203 4,001 1 0 — terminates at zero

Representations

In words
one thousand two hundred twenty-four
Ordinal
1224th
Roman numeral
MCCXXIV
Binary
10011001000
Octal
2310
Hexadecimal
0x4C8
Base64
BMg=
One's complement
64,311 (16-bit)
In other bases
ternary (3) 1200100
quaternary (4) 103020
quinary (5) 14344
senary (6) 5400
septenary (7) 3366
nonary (9) 1610
undecimal (11) a13
duodecimal (12) 860
tridecimal (13) 732
tetradecimal (14) 636
pentadecimal (15) 569

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ασκδʹ
Mayan (base 20)
𝋣·𝋡·𝋤
Chinese
一千二百二十四
Chinese (financial)
壹仟貳佰貳拾肆
In other modern scripts
Eastern Arabic ١٢٢٤ Devanagari १२२४ Bengali ১২২৪ Tamil ௧௨௨௪ Thai ๑๒๒๔ Tibetan ༡༢༢༤ Khmer ១២២៤ Lao ໑໒໒໔ Burmese ၁၂၂၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,224 = 1
e — Euler's number (e)
Digit 1,224 = 6
φ — Golden ratio (φ)
Digit 1,224 = 7
√2 — Pythagoras's (√2)
Digit 1,224 = 7
ln 2 — Natural log of 2
Digit 1,224 = 8
γ — Euler-Mascheroni (γ)
Digit 1,224 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1224, here are decompositions:

  • 7 + 1217 = 1224
  • 11 + 1213 = 1224
  • 23 + 1201 = 1224
  • 31 + 1193 = 1224
  • 37 + 1187 = 1224
  • 43 + 1181 = 1224
  • 53 + 1171 = 1224
  • 61 + 1163 = 1224

Showing the first eight; more decompositions exist.

Unicode codepoint
ӈ
Cyrillic Small Letter En With Hook
U+04C8
Lowercase letter (Ll)

UTF-8 encoding: D3 88 (2 bytes).

Hex color
#0004C8
RGB(0, 4, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.200.

Address
0.0.4.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.200

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

Position in π

The digit sequence 1224 first appears in π at position 660 of the decimal expansion (the 660ordinal-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.