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38,220

38,220 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 Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Pronic / Oblong Recamán's Sequence Self Number Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
16 bits
Reversed
2,283
Recamán's sequence
a(75,140) = 38,220
Square (n²)
1,460,768,400
Cube (n³)
55,830,568,248,000
Divisor count
72
σ(n) — sum of divisors
134,064
φ(n) — Euler's totient
8,064
Sum of prime factors
39

Primality

Prime factorization: 2 2 × 3 × 5 × 7 2 × 13

Nearest primes: 38,219 (−1) · 38,231 (+11)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 10 · 12 · 13 · 14 · 15 · 20 · 21 · 26 · 28 · 30 · 35 · 39 · 42 · 49 · 52 · 60 · 65 · 70 · 78 · 84 · 91 · 98 · 105 · 130 · 140 · 147 · 156 · 182 · 195 · 196 · 210 · 245 · 260 · 273 · 294 · 364 · 390 · 420 · 455 · 490 · 546 · 588 · 637 · 735 · 780 · 910 · 980 · 1092 · 1274 · 1365 · 1470 · 1820 · 1911 · 2548 · 2730 · 2940 · 3185 · 3822 · 5460 · 6370 · 7644 · 9555 · 12740 · 19110 (half) · 38220
Aliquot sum (sum of proper divisors): 95,844
Factor pairs (a × b = 38,220)
1 × 38220
2 × 19110
3 × 12740
4 × 9555
5 × 7644
6 × 6370
7 × 5460
10 × 3822
12 × 3185
13 × 2940
14 × 2730
15 × 2548
20 × 1911
21 × 1820
26 × 1470
28 × 1365
30 × 1274
35 × 1092
39 × 980
42 × 910
49 × 780
52 × 735
60 × 637
65 × 588
70 × 546
78 × 490
84 × 455
91 × 420
98 × 390
105 × 364
130 × 294
140 × 273
147 × 260
156 × 245
182 × 210
195 × 196
First multiples
38,220 · 76,440 (double) · 114,660 · 152,880 · 191,100 · 229,320 · 267,540 · 305,760 · 343,980 · 382,200

Sums & aliquot sequence

As consecutive integers: 12,739 + 12,740 + 12,741 7,642 + 7,643 + 7,644 + 7,645 + 7,646 5,457 + 5,458 + … + 5,463 4,774 + 4,775 + … + 4,781
Aliquot sequence: 38,220 95,844 165,900 389,620 682,892 731,668 758,198 584,266 292,136 309,094 181,874 158,542 93,314 63,094 31,550 27,226 13,616 — unresolved within range

Representations

In words
thirty-eight thousand two hundred twenty
Ordinal
38220th
Binary
1001010101001100
Octal
112514
Hexadecimal
0x954C
Base64
lUw=
One's complement
27,315 (16-bit)
In other bases
ternary (3) 1221102120
quaternary (4) 21111030
quinary (5) 2210340
senary (6) 452540
septenary (7) 216300
nonary (9) 57376
undecimal (11) 26796
duodecimal (12) 1a150
tridecimal (13) 14520
tetradecimal (14) dd00
pentadecimal (15) b4d0

Historical numeral systems

Babylonian (base 60)
𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Greek (Milesian)
͵λησκʹ
Mayan (base 20)
𝋤·𝋯·𝋫·𝋠
Chinese
三萬八千二百二十
Chinese (financial)
參萬捌仟貳佰貳拾
In other modern scripts
Eastern Arabic ٣٨٢٢٠ Devanagari ३८२२० Bengali ৩৮২২০ Tamil ௩௮௨௨௦ Thai ๓๘๒๒๐ Tibetan ༣༨༢༢༠ Khmer ៣៨២២០ Lao ໓໘໒໒໐ Burmese ၃၈၂၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 38,220 = 7
e — Euler's number (e)
Digit 38,220 = 9
φ — Golden ratio (φ)
Digit 38,220 = 7
√2 — Pythagoras's (√2)
Digit 38,220 = 6
ln 2 — Natural log of 2
Digit 38,220 = 2
γ — Euler-Mascheroni (γ)
Digit 38,220 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 38220, here are decompositions:

  • 19 + 38201 = 38220
  • 23 + 38197 = 38220
  • 31 + 38189 = 38220
  • 37 + 38183 = 38220
  • 43 + 38177 = 38220
  • 53 + 38167 = 38220
  • 67 + 38153 = 38220
  • 71 + 38149 = 38220

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-954C
U+954C
Other letter (Lo)

UTF-8 encoding: E9 95 8C (3 bytes).

Hex color
#00954C
RGB(0, 149, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.149.76.

Address
0.0.149.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.149.76

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

Position in π

The digit sequence 38220 first appears in π at position 157,746 of the decimal expansion (the 157,746ordinal-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.