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22,320

22,320 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.).
Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
2,322
Recamán's sequence
a(85,212) = 22,320
Square (n²)
498,182,400
Cube (n³)
11,119,431,168,000
Divisor count
60
σ(n) — sum of divisors
77,376
φ(n) — Euler's totient
5,760
Sum of prime factors
50

Primality

Prime factorization: 2 4 × 3 2 × 5 × 31

Nearest primes: 22,307 (−13) · 22,343 (+23)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 31 · 36 · 40 · 45 · 48 · 60 · 62 · 72 · 80 · 90 · 93 · 120 · 124 · 144 · 155 · 180 · 186 · 240 · 248 · 279 · 310 · 360 · 372 · 465 · 496 · 558 · 620 · 720 · 744 · 930 · 1116 · 1240 · 1395 · 1488 · 1860 · 2232 · 2480 · 2790 · 3720 · 4464 · 5580 · 7440 · 11160 (half) · 22320
Aliquot sum (sum of proper divisors): 55,056
Factor pairs (a × b = 22,320)
1 × 22320
2 × 11160
3 × 7440
4 × 5580
5 × 4464
6 × 3720
8 × 2790
9 × 2480
10 × 2232
12 × 1860
15 × 1488
16 × 1395
18 × 1240
20 × 1116
24 × 930
30 × 744
31 × 720
36 × 620
40 × 558
45 × 496
48 × 465
60 × 372
62 × 360
72 × 310
80 × 279
90 × 248
93 × 240
120 × 186
124 × 180
144 × 155
First multiples
22,320 · 44,640 (double) · 66,960 · 89,280 · 111,600 · 133,920 · 156,240 · 178,560 · 200,880 · 223,200

Sums & aliquot sequence

As consecutive integers: 7,439 + 7,440 + 7,441 4,462 + 4,463 + 4,464 + 4,465 + 4,466 2,476 + 2,477 + … + 2,484 1,481 + 1,482 + … + 1,495
Aliquot sequence: 22,320 55,056 95,728 96,720 236,592 459,792 881,392 882,384 1,474,608 2,461,648 3,172,912 3,173,904 6,428,656 7,431,568 7,432,560 19,934,736 33,228,528 — unresolved within range

Representations

In words
twenty-two thousand three hundred twenty
Ordinal
22320th
Binary
101011100110000
Octal
53460
Hexadecimal
0x5730
Base64
VzA=
One's complement
43,215 (16-bit)
In other bases
ternary (3) 1010121200
quaternary (4) 11130300
quinary (5) 1203240
senary (6) 251200
septenary (7) 122034
nonary (9) 33550
undecimal (11) 15851
duodecimal (12) 10b00
tridecimal (13) a20c
tetradecimal (14) 81c4
pentadecimal (15) 6930

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵κβτκʹ
Mayan (base 20)
𝋢·𝋯·𝋰·𝋠
Chinese
二萬二千三百二十
Chinese (financial)
貳萬貳仟參佰貳拾
In other modern scripts
Eastern Arabic ٢٢٣٢٠ Devanagari २२३२० Bengali ২২৩২০ Tamil ௨௨௩௨௦ Thai ๒๒๓๒๐ Tibetan ༢༢༣༢༠ Khmer ២២៣២០ Lao ໒໒໓໒໐ Burmese ၂၂၃၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 22,320 = 6
e — Euler's number (e)
Digit 22,320 = 4
φ — Golden ratio (φ)
Digit 22,320 = 2
√2 — Pythagoras's (√2)
Digit 22,320 = 3
ln 2 — Natural log of 2
Digit 22,320 = 4
γ — Euler-Mascheroni (γ)
Digit 22,320 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 22320, here are decompositions:

  • 13 + 22307 = 22320
  • 17 + 22303 = 22320
  • 29 + 22291 = 22320
  • 37 + 22283 = 22320
  • 41 + 22279 = 22320
  • 43 + 22277 = 22320
  • 47 + 22273 = 22320
  • 61 + 22259 = 22320

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5730
U+5730
Other letter (Lo)

UTF-8 encoding: E5 9C B0 (3 bytes).

Hex color
#005730
RGB(0, 87, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.87.48.

Address
0.0.87.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.87.48

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

Position in π

The digit sequence 22320 first appears in π at position 69,993 of the decimal expansion (the 69,993ordinal-suffix:rd 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.