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112,216

112,216 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.).

112,216 (one hundred twelve thousand two hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 13² × 83. Its proper divisors sum to 118,364, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B658.

Abundant Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
24
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
612,211
Square (n²)
12,592,430,656
Cube (n³)
1,413,072,198,493,696
Divisor count
24
σ(n) — sum of divisors
230,580
φ(n) — Euler's totient
51,168
Sum of prime factors
115

Primality

Prime factorization: 2 3 × 13 2 × 83

Nearest primes: 112,213 (−3) · 112,223 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 13 · 26 · 52 · 83 · 104 · 166 · 169 · 332 · 338 · 664 · 676 · 1079 · 1352 · 2158 · 4316 · 8632 · 14027 · 28054 · 56108 (half) · 112216
Aliquot sum (sum of proper divisors): 118,364
Factor pairs (a × b = 112,216)
1 × 112216
2 × 56108
4 × 28054
8 × 14027
13 × 8632
26 × 4316
52 × 2158
83 × 1352
104 × 1079
166 × 676
169 × 664
332 × 338
First multiples
112,216 · 224,432 (double) · 336,648 · 448,864 · 561,080 · 673,296 · 785,512 · 897,728 · 1,009,944 · 1,122,160

Sums & aliquot sequence

As consecutive integers: 8,626 + 8,627 + … + 8,638 7,006 + 7,007 + … + 7,021 1,311 + 1,312 + … + 1,393 580 + 581 + … + 748
Aliquot sequence: 112,216 118,364 91,300 127,436 95,584 100,976 94,696 121,304 110,896 112,304 105,316 81,416 71,254 40,346 20,176 22,356 38,796 — unresolved within range

Continued fraction of √n

√112,216 = [334; (1, 73, 2, 3, 1, 7, 2, 38, 1, 15, 1, 3, 2, 3, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, …)]

Representations

In words
one hundred twelve thousand two hundred sixteen
Ordinal
112216th
Binary
11011011001011000
Octal
333130
Hexadecimal
0x1B658
Base64
AbZY
One's complement
4,294,855,079 (32-bit)
Scientific notation
1.12216 × 10⁵
As a duration
112,216 s = 1 day, 7 hours, 10 minutes, 16 seconds
In other bases
ternary (3) 12200221011
quaternary (4) 123121120
quinary (5) 12042331
senary (6) 2223304
septenary (7) 645106
nonary (9) 180834
undecimal (11) 77345
duodecimal (12) 54b34
tridecimal (13) 3c100
tetradecimal (14) 2cc76
pentadecimal (15) 233b1

As an angle

112,216° = 311 × 360° + 256°
256° ≈ 4.468 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβσιϛʹ
Mayan (base 20)
𝋮·𝋠·𝋪·𝋰
Chinese
一十一萬二千二百一十六
Chinese (financial)
壹拾壹萬貳仟貳佰壹拾陸
In other modern scripts
Eastern Arabic ١١٢٢١٦ Devanagari ११२२१६ Bengali ১১২২১৬ Tamil ௧௧௨௨௧௬ Thai ๑๑๒๒๑๖ Tibetan ༡༡༢༢༡༦ Khmer ១១២២១៦ Lao ໑໑໒໒໑໖ Burmese ၁၁၂၂၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112216, here are decompositions:

  • 3 + 112213 = 112216
  • 17 + 112199 = 112216
  • 53 + 112163 = 112216
  • 113 + 112103 = 112216
  • 149 + 112067 = 112216
  • 197 + 112019 = 112216
  • 239 + 111977 = 112216
  • 257 + 111959 = 112216

Showing the first eight; more decompositions exist.

Hex color
#01B658
RGB(1, 182, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.88.

Address
0.1.182.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.182.88

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 112,216 and was likely granted around 1871.

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

Position in π

The digit sequence 112216 first appears in π at position 169,541 of the decimal expansion (the 169,541ordinal-suffix:st 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