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23,264

23,264 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
17
Digit product
288
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
46,232
Recamán's sequence
a(166,667) = 23,264
Square (n²)
541,213,696
Cube (n³)
12,590,795,423,744
Divisor count
12
σ(n) — sum of divisors
45,864
φ(n) — Euler's totient
11,616
Sum of prime factors
737

Primality

Prime factorization: 2 5 × 727

Nearest primes: 23,251 (−13) · 23,269 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 727 · 1454 · 2908 · 5816 · 11632 (half) · 23264
Aliquot sum (sum of proper divisors): 22,600
Factor pairs (a × b = 23,264)
1 × 23264
2 × 11632
4 × 5816
8 × 2908
16 × 1454
32 × 727
First multiples
23,264 · 46,528 (double) · 69,792 · 93,056 · 116,320 · 139,584 · 162,848 · 186,112 · 209,376 · 232,640

Sums & aliquot sequence

As consecutive integers: 332 + 333 + … + 395
Aliquot sequence: 23,264 22,600 30,410 24,346 19,430 17,290 23,030 26,218 13,112 13,888 18,624 31,160 44,440 65,720 89,800 119,450 102,820 — unresolved within range

Representations

In words
twenty-three thousand two hundred sixty-four
Ordinal
23264th
Binary
101101011100000
Octal
55340
Hexadecimal
0x5AE0
Base64
WuA=
One's complement
42,271 (16-bit)
In other bases
ternary (3) 1011220122
quaternary (4) 11223200
quinary (5) 1221024
senary (6) 255412
septenary (7) 124553
nonary (9) 34818
undecimal (11) 1652a
duodecimal (12) 11568
tridecimal (13) a787
tetradecimal (14) 869a
pentadecimal (15) 6d5e

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κγσξδʹ
Mayan (base 20)
𝋢·𝋲·𝋣·𝋤
Chinese
二萬三千二百六十四
Chinese (financial)
貳萬參仟貳佰陸拾肆
In other modern scripts
Eastern Arabic ٢٣٢٦٤ Devanagari २३२६४ Bengali ২৩২৬৪ Tamil ௨௩௨௬௪ Thai ๒๓๒๖๔ Tibetan ༢༣༢༦༤ Khmer ២៣២៦៤ Lao ໒໓໒໖໔ Burmese ၂၃၂၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 23,264 = 6
e — Euler's number (e)
Digit 23,264 = 4
φ — Golden ratio (φ)
Digit 23,264 = 2
√2 — Pythagoras's (√2)
Digit 23,264 = 1
ln 2 — Natural log of 2
Digit 23,264 = 6
γ — Euler-Mascheroni (γ)
Digit 23,264 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 23264, here are decompositions:

  • 13 + 23251 = 23264
  • 37 + 23227 = 23264
  • 61 + 23203 = 23264
  • 67 + 23197 = 23264
  • 97 + 23167 = 23264
  • 193 + 23071 = 23264
  • 211 + 23053 = 23264
  • 223 + 23041 = 23264

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5Ae0
U+5AE0
Other letter (Lo)

UTF-8 encoding: E5 AB A0 (3 bytes).

Hex color
#005AE0
RGB(0, 90, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.90.224.

Address
0.0.90.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.90.224

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

Position in π

The digit sequence 23264 first appears in π at position 159,286 of the decimal expansion (the 159,286ordinal-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.