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118,220

118,220 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.).

118,220 (one hundred eighteen thousand two hundred twenty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 23 × 257. Its proper divisors sum to 141,844, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CDCC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
22,811
Square (n²)
13,975,968,400
Cube (n³)
1,652,238,984,248,000
Divisor count
24
σ(n) — sum of divisors
260,064
φ(n) — Euler's totient
45,056
Sum of prime factors
289

Primality

Prime factorization: 2 2 × 5 × 23 × 257

Nearest primes: 118,219 (−1) · 118,247 (+27)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 23 · 46 · 92 · 115 · 230 · 257 · 460 · 514 · 1028 · 1285 · 2570 · 5140 · 5911 · 11822 · 23644 · 29555 · 59110 (half) · 118220
Aliquot sum (sum of proper divisors): 141,844
Factor pairs (a × b = 118,220)
1 × 118220
2 × 59110
4 × 29555
5 × 23644
10 × 11822
20 × 5911
23 × 5140
46 × 2570
92 × 1285
115 × 1028
230 × 514
257 × 460
First multiples
118,220 · 236,440 (double) · 354,660 · 472,880 · 591,100 · 709,320 · 827,540 · 945,760 · 1,063,980 · 1,182,200

Sums & aliquot sequence

As consecutive integers: 23,642 + 23,643 + 23,644 + 23,645 + 23,646 14,774 + 14,775 + … + 14,781 5,129 + 5,130 + … + 5,151 2,936 + 2,937 + … + 2,975
Aliquot sequence: 118,220 141,844 106,390 85,130 68,122 34,064 31,966 20,378 11,590 10,730 9,790 9,650 8,392 7,358 4,570 3,674 2,374 — unresolved within range

Continued fraction of √n

√118,220 = [343; (1, 4, 1, 13, 4, 1, 61, 1, 2, 2, 8, 3, 1, 1, 1, 1, 1, 1, 1, 5, 15, 2, 4, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one hundred eighteen thousand two hundred twenty
Ordinal
118220th
Binary
11100110111001100
Octal
346714
Hexadecimal
0x1CDCC
Base64
Ac3M
One's complement
4,294,849,075 (32-bit)
Scientific notation
1.1822 × 10⁵
As a duration
118,220 s = 1 day, 8 hours, 50 minutes, 20 seconds
In other bases
ternary (3) 20000011112
quaternary (4) 130313030
quinary (5) 12240340
senary (6) 2311152
septenary (7) 1001444
nonary (9) 200145
undecimal (11) 80903
duodecimal (12) 584b8
tridecimal (13) 41a6b
tetradecimal (14) 31124
pentadecimal (15) 25065

As an angle

118,220° = 328 × 360° + 140°
140° ≈ 2.443 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ριησκʹ
Mayan (base 20)
𝋮·𝋯·𝋫·𝋠
Chinese
一十一萬八千二百二十
Chinese (financial)
壹拾壹萬捌仟貳佰貳拾
In other modern scripts
Eastern Arabic ١١٨٢٢٠ Devanagari ११८२२० Bengali ১১৮২২০ Tamil ௧௧௮௨௨௦ Thai ๑๑๘๒๒๐ Tibetan ༡༡༨༢༢༠ Khmer ១១៨២២០ Lao ໑໑໘໒໒໐ Burmese ၁၁၈၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 118220, here are decompositions:

  • 7 + 118213 = 118220
  • 31 + 118189 = 118220
  • 73 + 118147 = 118220
  • 127 + 118093 = 118220
  • 139 + 118081 = 118220
  • 163 + 118057 = 118220
  • 229 + 117991 = 118220
  • 241 + 117979 = 118220

Showing the first eight; more decompositions exist.

Unicode codepoint
𜷌
Block Octant-1678
U+1CDCC
Other symbol (So)

UTF-8 encoding: F0 9C B7 8C (4 bytes).

Hex color
#01CDCC
RGB(1, 205, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.205.204.

Address
0.1.205.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.205.204

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 118,220 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.