number.wiki
Number

233

233 is a prime, odd, a calendar year.

233 (two hundred thirty-three) is an odd 3-digit number. It is a prime number — divisible only by 1 and itself. It is a Fibonacci number. Written other ways, in Roman numerals it is CCXXXIII and in binary, 11101001.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Fibonacci Markov Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Right-Truncatable Prime Self Number Sexy Prime Sophie Germain Prime Squarefree Year

Interestingness

14 notable facts · grade A
less more

Historical context — 233 AD

Calendar year

Year 233 (CCXXXIII) was a common year starting on Tuesday of the Julian calendar.

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

Historical context — 233 BC

Calendar year

Year 233 BC was a year of the pre-Julian Roman calendar.

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

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Tuesday
January 1, 233
Ended on
Tuesday
December 31, 233
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
230s
230–239
Century
3rd century
201–300
Millennium
1st millennium
1–1000
Years ago
1,793
1793 years before 2026.

In other calendars

Hebrew
3993 / 3994 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Water zodiac:Ox
Sexagenary cycle position 50 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
776 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
225 / 226 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
155 / 154 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
8
Digit product
18
Digital root
8
Palindrome
No
Bit width
8 bits
Reversed
332
Recamán's sequence
a(277) = 233
Square (n²)
54,289
Cube (n³)
12,649,337
Divisor count
2
σ(n) — sum of divisors
234
φ(n) — Euler's totient
232

Primality

233 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 233
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 233)
1 × 233
First multiples
233 · 466 (double) · 699 · 932 · 1,165 · 1,398 · 1,631 · 1,864 · 2,097 · 2,330

Sums & aliquot sequence

As a sum of two squares: 8² + 13²
As consecutive integers: 116 + 117

Continued fraction of √n

√233 = [15; (3, 1, 3, 1, 1, 1, 1, 3, 1, 3, 30)]

Period length 11 — the block in parentheses repeats forever.

Representations

In words
two hundred thirty-three
Ordinal
233rd
Roman numeral
CCXXXIII
Binary
11101001
Octal
351
Hexadecimal
0xE9
Base64
6Q==
One's complement
22 (8-bit)
Scientific notation
2.33 × 10²
As a duration
233 s = 3 minutes, 53 seconds
In other bases
ternary (3) 22122
quaternary (4) 3221
quinary (5) 1413
senary (6) 1025
septenary (7) 452
nonary (9) 278
undecimal (11) 1a2
duodecimal (12) 175
tridecimal (13) 14c
tetradecimal (14) 129
pentadecimal (15) 108
Palindromic in base 3

As an angle

233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
σλγʹ
Mayan (base 20)
𝋫·𝋭
Chinese
二百三十三
Chinese (financial)
貳佰參拾參
In other modern scripts
Eastern Arabic ٢٣٣ Devanagari २३३ Bengali ২৩৩ Tamil ௨௩௩ Thai ๒๓๓ Tibetan ༢༣༣ Khmer ២៣៣ Lao ໒໓໓ Burmese ၂၃၃

Digit at this position in famous constants

π — Pi (π)
Digit 233 = 7
e — Euler's number (e)
Digit 233 = 1
φ — Golden ratio (φ)
Digit 233 = 0
√2 — Pythagoras's (√2)
Digit 233 = 7
ln 2 — Natural log of 2
Digit 233 = 9
γ — Euler-Mascheroni (γ)
Digit 233 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 229 (gap of 4)
  • Next prime: 239 (gap of 6)

Pair status: cousin with 229, sexy with 239.

Unicode codepoint
é
Latin Small Letter E With Acute
U+00E9
Lowercase letter (Ll)

UTF-8 encoding: C3 A9 (2 bytes).

Hex color
#0000E9
RGB(0, 0, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.233.

Address
0.0.0.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.233

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

Musical pitch

Heard as a frequency, 233 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A♯3 (233.1 Hz, -1¢)
  • Scientific pitch (C4 = 256 Hz): A♯3 (228.1 Hz, +37¢)
  • Baroque pitch (A4 = 415 Hz): B3 (232.9 Hz, +1¢)

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Fibonacci numbers — The sequence where each term is the sum of the two before it — and why it turns up everywhere.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.