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22,440

22,440 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 Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
15 bits
Reversed
4,422
Recamán's sequence
a(84,972) = 22,440
Square (n²)
503,553,600
Cube (n³)
11,299,742,784,000
Divisor count
64
σ(n) — sum of divisors
77,760
φ(n) — Euler's totient
5,120
Sum of prime factors
42

Primality

Prime factorization: 2 3 × 3 × 5 × 11 × 17

Nearest primes: 22,433 (−7) · 22,441 (+1)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 17 · 20 · 22 · 24 · 30 · 33 · 34 · 40 · 44 · 51 · 55 · 60 · 66 · 68 · 85 · 88 · 102 · 110 · 120 · 132 · 136 · 165 · 170 · 187 · 204 · 220 · 255 · 264 · 330 · 340 · 374 · 408 · 440 · 510 · 561 · 660 · 680 · 748 · 935 · 1020 · 1122 · 1320 · 1496 · 1870 · 2040 · 2244 · 2805 · 3740 · 4488 · 5610 · 7480 · 11220 (half) · 22440
Aliquot sum (sum of proper divisors): 55,320
Factor pairs (a × b = 22,440)
1 × 22440
2 × 11220
3 × 7480
4 × 5610
5 × 4488
6 × 3740
8 × 2805
10 × 2244
11 × 2040
12 × 1870
15 × 1496
17 × 1320
20 × 1122
22 × 1020
24 × 935
30 × 748
33 × 680
34 × 660
40 × 561
44 × 510
51 × 440
55 × 408
60 × 374
66 × 340
68 × 330
85 × 264
88 × 255
102 × 220
110 × 204
120 × 187
132 × 170
136 × 165
First multiples
22,440 · 44,880 (double) · 67,320 · 89,760 · 112,200 · 134,640 · 157,080 · 179,520 · 201,960 · 224,400

Sums & aliquot sequence

As consecutive integers: 7,479 + 7,480 + 7,481 4,486 + 4,487 + 4,488 + 4,489 + 4,490 2,035 + 2,036 + … + 2,045 1,489 + 1,490 + … + 1,503
Aliquot sequence: 22,440 55,320 111,000 244,680 489,720 1,376,520 2,753,400 6,464,760 14,076,840 28,154,040 63,939,720 154,876,920 351,997,320 703,995,000 1,495,332,240 3,429,144,240 7,201,203,648 — unresolved within range

Representations

In words
twenty-two thousand four hundred forty
Ordinal
22440th
Binary
101011110101000
Octal
53650
Hexadecimal
0x57A8
Base64
V6g=
One's complement
43,095 (16-bit)
In other bases
ternary (3) 1010210010
quaternary (4) 11132220
quinary (5) 1204230
senary (6) 251520
septenary (7) 122265
nonary (9) 33703
undecimal (11) 15950
duodecimal (12) 10ba0
tridecimal (13) a2a2
tetradecimal (14) 826c
pentadecimal (15) 69b0

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵κβυμʹ
Mayan (base 20)
𝋢·𝋰·𝋢·𝋠
Chinese
二萬二千四百四十
Chinese (financial)
貳萬貳仟肆佰肆拾
In other modern scripts
Eastern Arabic ٢٢٤٤٠ Devanagari २२४४० Bengali ২২৪৪০ Tamil ௨௨௪௪௦ Thai ๒๒๔๔๐ Tibetan ༢༢༤༤༠ Khmer ២២៤៤០ Lao ໒໒໔໔໐ Burmese ၂၂၄၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 22,440 = 7
e — Euler's number (e)
Digit 22,440 = 2
φ — Golden ratio (φ)
Digit 22,440 = 6
√2 — Pythagoras's (√2)
Digit 22,440 = 2
ln 2 — Natural log of 2
Digit 22,440 = 9
γ — Euler-Mascheroni (γ)
Digit 22,440 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 22440, here are decompositions:

  • 7 + 22433 = 22440
  • 31 + 22409 = 22440
  • 43 + 22397 = 22440
  • 59 + 22381 = 22440
  • 71 + 22369 = 22440
  • 73 + 22367 = 22440
  • 97 + 22343 = 22440
  • 137 + 22303 = 22440

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-57A8
U+57A8
Other letter (Lo)

UTF-8 encoding: E5 9E A8 (3 bytes).

Hex color
#0057A8
RGB(0, 87, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.87.168.

Address
0.0.87.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.87.168

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

Position in π

The digit sequence 22440 first appears in π at position 238,793 of the decimal expansion (the 238,793ordinal-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.