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22,004

22,004 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 Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
40,022
Recamán's sequence
a(167,755) = 22,004
Square (n²)
484,176,016
Cube (n³)
10,653,809,056,064
Divisor count
6
σ(n) — sum of divisors
38,514
φ(n) — Euler's totient
11,000
Sum of prime factors
5,505

Primality

Prime factorization: 2 2 × 5501

Nearest primes: 22,003 (−1) · 22,013 (+9)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 5501 · 11002 (half) · 22004
Aliquot sum (sum of proper divisors): 16,510
Factor pairs (a × b = 22,004)
1 × 22004
2 × 11002
4 × 5501
First multiples
22,004 · 44,008 (double) · 66,012 · 88,016 · 110,020 · 132,024 · 154,028 · 176,032 · 198,036 · 220,040

Sums & aliquot sequence

As a sum of two squares: 10² + 148²
As consecutive integers: 2,747 + 2,748 + … + 2,754
Aliquot sequence: 22,004 16,510 15,746 7,876 7,244 5,440 8,276 6,214 3,866 1,936 2,187 1,093 1 0 — terminates at zero

Representations

In words
twenty-two thousand four
Ordinal
22004th
Binary
101010111110100
Octal
52764
Hexadecimal
0x55F4
Base64
VfQ=
One's complement
43,531 (16-bit)
In other bases
ternary (3) 1010011222
quaternary (4) 11113310
quinary (5) 1201004
senary (6) 245512
septenary (7) 121103
nonary (9) 33158
undecimal (11) 15594
duodecimal (12) 10898
tridecimal (13) a028
tetradecimal (14) 803a
pentadecimal (15) 67be

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κβδʹ
Mayan (base 20)
𝋢·𝋯·𝋠·𝋤
Chinese
二萬二千零四
Chinese (financial)
貳萬貳仟零肆
In other modern scripts
Eastern Arabic ٢٢٠٠٤ Devanagari २२००४ Bengali ২২০০৪ Tamil ௨௨௦௦௪ Thai ๒๒๐๐๔ Tibetan ༢༢༠༠༤ Khmer ២២០០៤ Lao ໒໒໐໐໔ Burmese ၂၂၀၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 22,004 = 0
e — Euler's number (e)
Digit 22,004 = 2
φ — Golden ratio (φ)
Digit 22,004 = 2
√2 — Pythagoras's (√2)
Digit 22,004 = 1
ln 2 — Natural log of 2
Digit 22,004 = 4
γ — Euler-Mascheroni (γ)
Digit 22,004 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 22004, here are decompositions:

  • 7 + 21997 = 22004
  • 13 + 21991 = 22004
  • 43 + 21961 = 22004
  • 61 + 21943 = 22004
  • 67 + 21937 = 22004
  • 163 + 21841 = 22004
  • 277 + 21727 = 22004
  • 331 + 21673 = 22004

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-55F4
U+55F4
Other letter (Lo)

UTF-8 encoding: E5 97 B4 (3 bytes).

Hex color
#0055F4
RGB(0, 85, 244)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.85.244.

Address
0.0.85.244
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.85.244

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000022004
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 22004 first appears in π at position 585,336 of the decimal expansion (the 585,336ordinal-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.