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122,332

122,332 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.).

122,332 (one hundred twenty-two thousand three hundred thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 17 × 257. Its proper divisors sum to 137,732, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DDDC.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
72
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
233,221
Square (n²)
14,965,118,224
Cube (n³)
1,830,712,842,578,368
Divisor count
24
σ(n) — sum of divisors
260,064
φ(n) — Euler's totient
49,152
Sum of prime factors
285

Primality

Prime factorization: 2 2 × 7 × 17 × 257

Nearest primes: 122,327 (−5) · 122,347 (+15)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 17 · 28 · 34 · 68 · 119 · 238 · 257 · 476 · 514 · 1028 · 1799 · 3598 · 4369 · 7196 · 8738 · 17476 · 30583 · 61166 (half) · 122332
Aliquot sum (sum of proper divisors): 137,732
Factor pairs (a × b = 122,332)
1 × 122332
2 × 61166
4 × 30583
7 × 17476
14 × 8738
17 × 7196
28 × 4369
34 × 3598
68 × 1799
119 × 1028
238 × 514
257 × 476
First multiples
122,332 · 244,664 (double) · 366,996 · 489,328 · 611,660 · 733,992 · 856,324 · 978,656 · 1,100,988 · 1,223,320

Sums & aliquot sequence

As consecutive integers: 17,473 + 17,474 + … + 17,479 15,288 + 15,289 + … + 15,295 7,188 + 7,189 + … + 7,204 2,157 + 2,158 + … + 2,212
Aliquot sequence: 122,332 137,732 137,788 165,452 183,988 184,044 317,100 738,388 738,444 1,277,556 2,195,340 4,831,092 9,874,508 9,874,564 10,149,244 10,149,300 27,660,780 — unresolved within range

Continued fraction of √n

√122,332 = [349; (1, 3, 6, 19, 3, 1, 2, 4, 1, 2, 1, 7, 1, 8, 1, 4, 1, 7, 2, 86, 1, 32, 3, 9, …)]

Representations

In words
one hundred twenty-two thousand three hundred thirty-two
Ordinal
122332nd
Binary
11101110111011100
Octal
356734
Hexadecimal
0x1DDDC
Base64
Ad3c
One's complement
4,294,844,963 (32-bit)
Scientific notation
1.22332 × 10⁵
As a duration
122,332 s = 1 day, 9 hours, 58 minutes, 52 seconds
In other bases
ternary (3) 20012210211
quaternary (4) 131313130
quinary (5) 12403312
senary (6) 2342204
septenary (7) 1016440
nonary (9) 205724
undecimal (11) 83a01
duodecimal (12) 5a964
tridecimal (13) 438b2
tetradecimal (14) 32820
pentadecimal (15) 263a7

As an angle

122,332° = 339 × 360° + 292°
292° ≈ 5.096 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκβτλβʹ
Mayan (base 20)
𝋯·𝋥·𝋰·𝋬
Chinese
一十二萬二千三百三十二
Chinese (financial)
壹拾貳萬貳仟參佰參拾貳
In other modern scripts
Eastern Arabic ١٢٢٣٣٢ Devanagari १२२३३२ Bengali ১২২৩৩২ Tamil ௧௨௨௩௩௨ Thai ๑๒๒๓๓๒ Tibetan ༡༢༢༣༣༢ Khmer ១២២៣៣២ Lao ໑໒໒໓໓໒ Burmese ၁၂၂၃၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122332, here are decompositions:

  • 5 + 122327 = 122332
  • 11 + 122321 = 122332
  • 53 + 122279 = 122332
  • 59 + 122273 = 122332
  • 101 + 122231 = 122332
  • 113 + 122219 = 122332
  • 131 + 122201 = 122332
  • 233 + 122099 = 122332

Showing the first eight; more decompositions exist.

Hex color
#01DDDC
RGB(1, 221, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.220.

Address
0.1.221.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.220

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 122,332 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