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122,250

122,250 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.).

122,250 (one hundred twenty-two thousand two hundred fifty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5³ × 163. Its proper divisors sum to 184,758, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD8A.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
52,221
Square (n²)
14,945,062,500
Cube (n³)
1,827,033,890,625,000
Divisor count
32
σ(n) — sum of divisors
307,008
φ(n) — Euler's totient
32,400
Sum of prime factors
183

Primality

Prime factorization: 2 × 3 × 5 3 × 163

Nearest primes: 122,231 (−19) · 122,251 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 25 · 30 · 50 · 75 · 125 · 150 · 163 · 250 · 326 · 375 · 489 · 750 · 815 · 978 · 1630 · 2445 · 4075 · 4890 · 8150 · 12225 · 20375 · 24450 · 40750 · 61125 (half) · 122250
Aliquot sum (sum of proper divisors): 184,758
Factor pairs (a × b = 122,250)
1 × 122250
2 × 61125
3 × 40750
5 × 24450
6 × 20375
10 × 12225
15 × 8150
25 × 4890
30 × 4075
50 × 2445
75 × 1630
125 × 978
150 × 815
163 × 750
250 × 489
326 × 375
First multiples
122,250 · 244,500 (double) · 366,750 · 489,000 · 611,250 · 733,500 · 855,750 · 978,000 · 1,100,250 · 1,222,500

Sums & aliquot sequence

As consecutive integers: 40,749 + 40,750 + 40,751 30,561 + 30,562 + 30,563 + 30,564 24,448 + 24,449 + 24,450 + 24,451 + 24,452 10,182 + 10,183 + … + 10,193
Aliquot sequence: 122,250 184,758 250,698 339,126 362,874 368,934 412,554 441,366 441,378 696,798 812,970 1,355,670 2,260,170 4,323,510 7,426,890 13,037,598 20,352,594 — unresolved within range

Continued fraction of √n

√122,250 = [349; (1, 1, 1, 3, 1, 27, 5, 2, 1, 1, 2, 27, 1, 1, 2, 2, 2, 1, 1, 27, 2, 1, 1, 2, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand two hundred fifty
Ordinal
122250th
Binary
11101110110001010
Octal
356612
Hexadecimal
0x1DD8A
Base64
Ad2K
One's complement
4,294,845,045 (32-bit)
Scientific notation
1.2225 × 10⁵
As a duration
122,250 s = 1 day, 9 hours, 57 minutes, 30 seconds
In other bases
ternary (3) 20012200210
quaternary (4) 131312022
quinary (5) 12403000
senary (6) 2341550
septenary (7) 1016262
nonary (9) 205623
undecimal (11) 83937
duodecimal (12) 5a8b6
tridecimal (13) 4384b
tetradecimal (14) 327a2
pentadecimal (15) 26350

As an angle

122,250° = 339 × 360° + 210°
210° ≈ 3.665 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκβσνʹ
Mayan (base 20)
𝋯·𝋥·𝋬·𝋪
Chinese
一十二萬二千二百五十
Chinese (financial)
壹拾貳萬貳仟貳佰伍拾
In other modern scripts
Eastern Arabic ١٢٢٢٥٠ Devanagari १२२२५० Bengali ১২২২৫০ Tamil ௧௨௨௨௫௦ Thai ๑๒๒๒๕๐ Tibetan ༡༢༢༢༥༠ Khmer ១២២២៥០ Lao ໑໒໒໒໕໐ Burmese ၁၂၂၂၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122250, here are decompositions:

  • 19 + 122231 = 122250
  • 31 + 122219 = 122250
  • 41 + 122209 = 122250
  • 43 + 122207 = 122250
  • 47 + 122203 = 122250
  • 83 + 122167 = 122250
  • 101 + 122149 = 122250
  • 103 + 122147 = 122250

Showing the first eight; more decompositions exist.

Hex color
#01DD8A
RGB(1, 221, 138)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.138.

Address
0.1.221.138
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.138

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 122,250 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 122250 first appears in π at position 640,572 of the decimal expansion (the 640,572ordinal-suffix:nd 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°.