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122,244

122,244 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.).

122,244 (one hundred twenty-two thousand two hundred forty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 61 × 167. Its proper divisors sum to 169,404, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD84.

Abundant Number Arithmetic Number Cube-Free Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
128
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
442,221
Square (n²)
14,943,595,536
Cube (n³)
1,826,764,892,702,784
Divisor count
24
σ(n) — sum of divisors
291,648
φ(n) — Euler's totient
39,840
Sum of prime factors
235

Primality

Prime factorization: 2 2 × 3 × 61 × 167

Nearest primes: 122,231 (−13) · 122,251 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 61 · 122 · 167 · 183 · 244 · 334 · 366 · 501 · 668 · 732 · 1002 · 2004 · 10187 · 20374 · 30561 · 40748 · 61122 (half) · 122244
Aliquot sum (sum of proper divisors): 169,404
Factor pairs (a × b = 122,244)
1 × 122244
2 × 61122
3 × 40748
4 × 30561
6 × 20374
12 × 10187
61 × 2004
122 × 1002
167 × 732
183 × 668
244 × 501
334 × 366
First multiples
122,244 · 244,488 (double) · 366,732 · 488,976 · 611,220 · 733,464 · 855,708 · 977,952 · 1,100,196 · 1,222,440

Sums & aliquot sequence

As consecutive integers: 40,747 + 40,748 + 40,749 15,277 + 15,278 + … + 15,284 5,082 + 5,083 + … + 5,105 1,974 + 1,975 + … + 2,034
Aliquot sequence: 122,244 169,404 247,236 382,428 609,332 462,508 366,012 583,188 837,420 1,648,308 2,197,772 1,648,336 1,592,528 2,008,432 1,882,936 1,968,704 2,146,096 — unresolved within range

Continued fraction of √n

√122,244 = [349; (1, 1, 1, 2, 1, 2, 1, 10, 1, 2, 1, 2, 1, 1, 1, 698)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand two hundred forty-four
Ordinal
122244th
Binary
11101110110000100
Octal
356604
Hexadecimal
0x1DD84
Base64
Ad2E
One's complement
4,294,845,051 (32-bit)
Scientific notation
1.22244 × 10⁵
As a duration
122,244 s = 1 day, 9 hours, 57 minutes, 24 seconds
In other bases
ternary (3) 20012200120
quaternary (4) 131312010
quinary (5) 12402434
senary (6) 2341540
septenary (7) 1016253
nonary (9) 205616
undecimal (11) 83931
duodecimal (12) 5a8b0
tridecimal (13) 43845
tetradecimal (14) 3279a
pentadecimal (15) 26349

As an angle

122,244° = 339 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβσμδʹ
Mayan (base 20)
𝋯·𝋥·𝋬·𝋤
Chinese
一十二萬二千二百四十四
Chinese (financial)
壹拾貳萬貳仟貳佰肆拾肆
In other modern scripts
Eastern Arabic ١٢٢٢٤٤ Devanagari १२२२४४ Bengali ১২২২৪৪ Tamil ௧௨௨௨௪௪ Thai ๑๒๒๒๔๔ Tibetan ༡༢༢༢༤༤ Khmer ១២២២៤៤ Lao ໑໒໒໒໔໔ Burmese ၁၂၂၂၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122244, here are decompositions:

  • 13 + 122231 = 122244
  • 37 + 122207 = 122244
  • 41 + 122203 = 122244
  • 43 + 122201 = 122244
  • 71 + 122173 = 122244
  • 97 + 122147 = 122244
  • 113 + 122131 = 122244
  • 127 + 122117 = 122244

Showing the first eight; more decompositions exist.

Hex color
#01DD84
RGB(1, 221, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.132.

Address
0.1.221.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.132

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 122,244 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

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