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122,550

122,550 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.).

122,550 (one hundred twenty-two thousand five hundred fifty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3 × 5² × 19 × 43. Its proper divisors sum to 204,810, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DEB6.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
55,221
Recamán's sequence
a(30,140) = 122,550
Square (n²)
15,018,502,500
Cube (n³)
1,840,517,481,375,000
Divisor count
48
σ(n) — sum of divisors
327,360
φ(n) — Euler's totient
30,240
Sum of prime factors
77

Primality

Prime factorization: 2 × 3 × 5 2 × 19 × 43

Nearest primes: 122,533 (−17) · 122,557 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 19 · 25 · 30 · 38 · 43 · 50 · 57 · 75 · 86 · 95 · 114 · 129 · 150 · 190 · 215 · 258 · 285 · 430 · 475 · 570 · 645 · 817 · 950 · 1075 · 1290 · 1425 · 1634 · 2150 · 2451 · 2850 · 3225 · 4085 · 4902 · 6450 · 8170 · 12255 · 20425 · 24510 · 40850 · 61275 (half) · 122550
Aliquot sum (sum of proper divisors): 204,810
Factor pairs (a × b = 122,550)
1 × 122550
2 × 61275
3 × 40850
5 × 24510
6 × 20425
10 × 12255
15 × 8170
19 × 6450
25 × 4902
30 × 4085
38 × 3225
43 × 2850
50 × 2451
57 × 2150
75 × 1634
86 × 1425
95 × 1290
114 × 1075
129 × 950
150 × 817
190 × 645
215 × 570
258 × 475
285 × 430
First multiples
122,550 · 245,100 (double) · 367,650 · 490,200 · 612,750 · 735,300 · 857,850 · 980,400 · 1,102,950 · 1,225,500

Sums & aliquot sequence

As consecutive integers: 40,849 + 40,850 + 40,851 30,636 + 30,637 + 30,638 + 30,639 24,508 + 24,509 + 24,510 + 24,511 + 24,512 10,207 + 10,208 + … + 10,218
Aliquot sequence: 122,550 204,810 286,806 331,098 337,542 345,450 672,342 827,562 827,574 978,186 1,156,182 1,156,194 1,689,978 1,689,990 2,366,058 2,401,782 2,401,794 — unresolved within range

Continued fraction of √n

√122,550 = [350; (14, 700)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand five hundred fifty
Ordinal
122550th
Binary
11101111010110110
Octal
357266
Hexadecimal
0x1DEB6
Base64
Ad62
One's complement
4,294,844,745 (32-bit)
Scientific notation
1.2255 × 10⁵
As a duration
122,550 s = 1 day, 10 hours, 2 minutes, 30 seconds
In other bases
ternary (3) 20020002220
quaternary (4) 131322312
quinary (5) 12410200
senary (6) 2343210
septenary (7) 1020201
nonary (9) 206086
undecimal (11) 8408a
duodecimal (12) 5ab06
tridecimal (13) 43a1c
tetradecimal (14) 32938
pentadecimal (15) 264a0
Palindromic in base 7

As an angle

122,550° = 340 × 360° + 150°
150° ≈ 2.618 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκβφνʹ
Mayan (base 20)
𝋯·𝋦·𝋧·𝋪
Chinese
一十二萬二千五百五十
Chinese (financial)
壹拾貳萬貳仟伍佰伍拾
In other modern scripts
Eastern Arabic ١٢٢٥٥٠ Devanagari १२२५५० Bengali ১২২৫৫০ Tamil ௧௨௨௫௫௦ Thai ๑๒๒๕๕๐ Tibetan ༡༢༢༥༥༠ Khmer ១២២៥៥០ Lao ໑໒໒໕໕໐ Burmese ၁၂၂၅၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122550, here are decompositions:

  • 17 + 122533 = 122550
  • 23 + 122527 = 122550
  • 41 + 122509 = 122550
  • 47 + 122503 = 122550
  • 53 + 122497 = 122550
  • 61 + 122489 = 122550
  • 73 + 122477 = 122550
  • 79 + 122471 = 122550

Showing the first eight; more decompositions exist.

Hex color
#01DEB6
RGB(1, 222, 182)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.182.

Address
0.1.222.182
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.182

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 122,550 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 122550 first appears in π at position 209,093 of the decimal expansion (the 209,093ordinal-suffix:rd 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°.