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122,322

122,322 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.).

122,322 (one hundred twenty-two thousand three hundred twenty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 19 × 29 × 37. Its proper divisors sum to 151,278, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DDD2.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
48
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
223,221
Square (n²)
14,962,671,684
Cube (n³)
1,830,263,925,730,248
Divisor count
32
σ(n) — sum of divisors
273,600
φ(n) — Euler's totient
36,288
Sum of prime factors
90

Primality

Prime factorization: 2 × 3 × 19 × 29 × 37

Nearest primes: 122,321 (−1) · 122,323 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 19 · 29 · 37 · 38 · 57 · 58 · 74 · 87 · 111 · 114 · 174 · 222 · 551 · 703 · 1073 · 1102 · 1406 · 1653 · 2109 · 2146 · 3219 · 3306 · 4218 · 6438 · 20387 · 40774 · 61161 (half) · 122322
Aliquot sum (sum of proper divisors): 151,278
Factor pairs (a × b = 122,322)
1 × 122322
2 × 61161
3 × 40774
6 × 20387
19 × 6438
29 × 4218
37 × 3306
38 × 3219
57 × 2146
58 × 2109
74 × 1653
87 × 1406
111 × 1102
114 × 1073
174 × 703
222 × 551
First multiples
122,322 · 244,644 (double) · 366,966 · 489,288 · 611,610 · 733,932 · 856,254 · 978,576 · 1,100,898 · 1,223,220

Sums & aliquot sequence

As consecutive integers: 40,773 + 40,774 + 40,775 30,579 + 30,580 + 30,581 + 30,582 10,188 + 10,189 + … + 10,199 6,429 + 6,430 + … + 6,447
Aliquot sequence: 122,322 151,278 167,442 212,718 256,506 256,518 299,310 485,202 492,558 647,922 765,870 1,376,418 1,376,430 2,349,138 2,776,398 2,776,410 6,416,550 — unresolved within range

Continued fraction of √n

√122,322 = [349; (1, 2, 1, 13, 1, 1, 9, 2, 1, 99, 4, 99, 1, 2, 9, 1, 1, 13, 1, 2, 1, 698)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand three hundred twenty-two
Ordinal
122322nd
Binary
11101110111010010
Octal
356722
Hexadecimal
0x1DDD2
Base64
Ad3S
One's complement
4,294,844,973 (32-bit)
Scientific notation
1.22322 × 10⁵
As a duration
122,322 s = 1 day, 9 hours, 58 minutes, 42 seconds
In other bases
ternary (3) 20012210110
quaternary (4) 131313102
quinary (5) 12403242
senary (6) 2342150
septenary (7) 1016424
nonary (9) 205713
undecimal (11) 839a2
duodecimal (12) 5a956
tridecimal (13) 438a5
tetradecimal (14) 32814
pentadecimal (15) 2639c

As an angle

122,322° = 339 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκβτκβʹ
Mayan (base 20)
𝋯·𝋥·𝋰·𝋢
Chinese
一十二萬二千三百二十二
Chinese (financial)
壹拾貳萬貳仟參佰貳拾貳
In other modern scripts
Eastern Arabic ١٢٢٣٢٢ Devanagari १२२३२२ Bengali ১২২৩২২ Tamil ௧௨௨௩௨௨ Thai ๑๒๒๓๒๒ Tibetan ༡༢༢༣༢༢ Khmer ១២២៣២២ Lao ໑໒໒໓໒໒ Burmese ၁၂၂၃၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122322, here are decompositions:

  • 23 + 122299 = 122322
  • 43 + 122279 = 122322
  • 59 + 122263 = 122322
  • 71 + 122251 = 122322
  • 103 + 122219 = 122322
  • 113 + 122209 = 122322
  • 149 + 122173 = 122322
  • 173 + 122149 = 122322

Showing the first eight; more decompositions exist.

Hex color
#01DDD2
RGB(1, 221, 210)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.210.

Address
0.1.221.210
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.210

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 122,322 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 122322 first appears in π at position 441,841 of the decimal expansion (the 441,841ordinal-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

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