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122,164

122,164 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.).

122,164 (one hundred twenty-two thousand one hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,363. Its proper divisors sum to 122,220, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD34.

Abundant Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
96
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
461,221
Square (n²)
14,924,042,896
Cube (n³)
1,823,180,776,346,944
Divisor count
12
σ(n) — sum of divisors
244,384
φ(n) — Euler's totient
52,344
Sum of prime factors
4,374

Primality

Prime factorization: 2 2 × 7 × 4363

Nearest primes: 122,149 (−15) · 122,167 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 4363 · 8726 · 17452 · 30541 · 61082 (half) · 122164
Aliquot sum (sum of proper divisors): 122,220
Factor pairs (a × b = 122,164)
1 × 122164
2 × 61082
4 × 30541
7 × 17452
14 × 8726
28 × 4363
First multiples
122,164 · 244,328 (double) · 366,492 · 488,656 · 610,820 · 732,984 · 855,148 · 977,312 · 1,099,476 · 1,221,640

Sums & aliquot sequence

As consecutive integers: 17,449 + 17,450 + … + 17,455 15,267 + 15,268 + … + 15,274 2,154 + 2,155 + … + 2,209
Aliquot sequence: 122,164 122,220 305,844 586,572 977,844 1,677,900 4,321,716 7,203,084 12,005,364 20,282,892 33,805,044 77,736,204 168,706,356 315,786,828 526,311,604 664,176,716 664,176,772 — unresolved within range

Continued fraction of √n

√122,164 = [349; (1, 1, 12, 4, 1, 3, 2, 3, 3, 1, 8, 1, 1, 4, 6, 13, 34, 1, 7, 15, 1, 3, 5, 23, …)]

Representations

In words
one hundred twenty-two thousand one hundred sixty-four
Ordinal
122164th
Binary
11101110100110100
Octal
356464
Hexadecimal
0x1DD34
Base64
Ad00
One's complement
4,294,845,131 (32-bit)
Scientific notation
1.22164 × 10⁵
As a duration
122,164 s = 1 day, 9 hours, 56 minutes, 4 seconds
In other bases
ternary (3) 20012120121
quaternary (4) 131310310
quinary (5) 12402124
senary (6) 2341324
septenary (7) 1016110
nonary (9) 205517
undecimal (11) 83869
duodecimal (12) 5a844
tridecimal (13) 437b3
tetradecimal (14) 32740
pentadecimal (15) 262e4

As an angle

122,164° = 339 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβρξδʹ
Mayan (base 20)
𝋯·𝋥·𝋨·𝋤
Chinese
一十二萬二千一百六十四
Chinese (financial)
壹拾貳萬貳仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ١٢٢١٦٤ Devanagari १२२१६४ Bengali ১২২১৬৪ Tamil ௧௨௨௧௬௪ Thai ๑๒๒๑๖๔ Tibetan ༡༢༢༡༦༤ Khmer ១២២១៦៤ Lao ໑໒໒໑໖໔ Burmese ၁၂၂၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122164, here are decompositions:

  • 17 + 122147 = 122164
  • 47 + 122117 = 122164
  • 83 + 122081 = 122164
  • 113 + 122051 = 122164
  • 131 + 122033 = 122164
  • 137 + 122027 = 122164
  • 167 + 121997 = 122164
  • 197 + 121967 = 122164

Showing the first eight; more decompositions exist.

Hex color
#01DD34
RGB(1, 221, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.52.

Address
0.1.221.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.52

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 122,164 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