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188,112

188,112 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.).

188,112 (one hundred eighty-eight thousand one hundred twelve) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 3,919. Its proper divisors sum to 297,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2DED0.

Abundant Number Arithmetic Number Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
128
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
211,881
Recamán's sequence
a(81,364) = 188,112
Square (n²)
35,386,124,544
Cube (n³)
6,656,554,660,220,928
Divisor count
20
σ(n) — sum of divisors
486,080
φ(n) — Euler's totient
62,688
Sum of prime factors
3,930

Primality

Prime factorization: 2 4 × 3 × 3919

Nearest primes: 188,107 (−5) · 188,137 (+25)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 3919 · 7838 · 11757 · 15676 · 23514 · 31352 · 47028 · 62704 · 94056 (half) · 188112
Aliquot sum (sum of proper divisors): 297,968
Factor pairs (a × b = 188,112)
1 × 188112
2 × 94056
3 × 62704
4 × 47028
6 × 31352
8 × 23514
12 × 15676
16 × 11757
24 × 7838
48 × 3919
First multiples
188,112 · 376,224 (double) · 564,336 · 752,448 · 940,560 · 1,128,672 · 1,316,784 · 1,504,896 · 1,693,008 · 1,881,120

Sums & aliquot sequence

As consecutive integers: 62,703 + 62,704 + 62,705 5,863 + 5,864 + … + 5,894 1,912 + 1,913 + … + 2,007
Aliquot sequence: 188,112 → 297,968 → 332,200 → 515,960 → 645,040 → 993,248 → 962,272 → 932,264 → 815,746 → 472,334 → 236,170 → 256,310 → 237,466 → 128,474 → 64,240 → 100,928 → 112,432 — unresolved within range

Continued fraction of √n

√188,112 = [433; (1, 2, 1, 1, 3, 1, 17, 1, 2, 13, 4, 1, 1, 1, 71, 1, 1, 1, 4, 13, 2, 1, 17, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred eighty-eight thousand one hundred twelve
Ordinal
188112th
Binary
101101111011010000
Octal
557320
Hexadecimal
0x2DED0
Base64
At7Q
One's complement
4,294,779,183 (32-bit)
Scientific notation
1.88112 × 10⁵
As a duration
188,112 s = 2 days, 4 hours, 15 minutes, 12 seconds
In other bases
ternary (3) 100120001010
quaternary (4) 231323100
quinary (5) 22004422
senary (6) 4010520
septenary (7) 1412301
nonary (9) 316033
undecimal (11) 119371
duodecimal (12) 90a40
tridecimal (13) 67812
tetradecimal (14) 4c7a8
pentadecimal (15) 3ab0c

As an angle

188,112° = 522 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρπηριβʹ
Chinese
十八萬八千一百一十二
Chinese (financial)
壹拾捌萬捌仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ١٨٨١١٢ Devanagari १८८११२ Bengali ১৮৮১১২ Tamil ௧௮௮௧௧௨ Thai ๑๘๘๑๑๒ Tibetan ༡༨༨༡༡༢ Khmer ១៨៨១១២ Lao ໑໘໘໑໑໒ Burmese ၁၈၈၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 188112, here are decompositions:

  • 5 + 188107 = 188112
  • 83 + 188029 = 188112
  • 101 + 188011 = 188112
  • 139 + 187973 = 188112
  • 149 + 187963 = 188112
  • 181 + 187931 = 188112
  • 191 + 187921 = 188112
  • 229 + 187883 = 188112

Showing the first eight; more decompositions exist.

Unicode codepoint
𭻐
CJK Unified Ideograph-2Ded0
U+2DED0
Other letter (Lo)

UTF-8 encoding: F0 AD BB 90 (4 bytes).

Hex color
#02DED0
RGB(2, 222, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.222.208.

Address
0.2.222.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.222.208

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 188,112 and was likely granted around 1875.

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

Position in π

The digit sequence 188112 first appears in π at position 342,957 of the decimal expansion (the 342,957ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.