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122,190

122,190 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.).

122,190 (one hundred twenty-two thousand one hundred ninety) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 4,073. Its proper divisors sum to 171,138, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD4E.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
91,221
Square (n²)
14,930,396,100
Cube (n³)
1,824,345,099,459,000
Divisor count
16
σ(n) — sum of divisors
293,328
φ(n) — Euler's totient
32,576
Sum of prime factors
4,083

Primality

Prime factorization: 2 × 3 × 5 × 4073

Nearest primes: 122,173 (−17) · 122,201 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 4073 · 8146 · 12219 · 20365 · 24438 · 40730 · 61095 (half) · 122190
Aliquot sum (sum of proper divisors): 171,138
Factor pairs (a × b = 122,190)
1 × 122190
2 × 61095
3 × 40730
5 × 24438
6 × 20365
10 × 12219
15 × 8146
30 × 4073
First multiples
122,190 · 244,380 (double) · 366,570 · 488,760 · 610,950 · 733,140 · 855,330 · 977,520 · 1,099,710 · 1,221,900

Sums & aliquot sequence

As consecutive integers: 40,729 + 40,730 + 40,731 30,546 + 30,547 + 30,548 + 30,549 24,436 + 24,437 + 24,438 + 24,439 + 24,440 10,177 + 10,178 + … + 10,188
Aliquot sequence: 122,190 171,138 202,398 273,762 330,894 410,418 484,749 215,457 97,983 55,617 18,543 9,745 1,955 637 161 31 1 — unresolved within range

Continued fraction of √n

√122,190 = [349; (1, 1, 3, 1, 8, 1, 2, 36, 2, 4, 1, 1, 6, 2, 1, 2, 4, 1, 1, 2, 2, 2, 1, 3, …)]

Representations

In words
one hundred twenty-two thousand one hundred ninety
Ordinal
122190th
Binary
11101110101001110
Octal
356516
Hexadecimal
0x1DD4E
Base64
Ad1O
One's complement
4,294,845,105 (32-bit)
Scientific notation
1.2219 × 10⁵
As a duration
122,190 s = 1 day, 9 hours, 56 minutes, 30 seconds
In other bases
ternary (3) 20012121120
quaternary (4) 131311032
quinary (5) 12402230
senary (6) 2341410
septenary (7) 1016145
nonary (9) 205546
undecimal (11) 83892
duodecimal (12) 5a866
tridecimal (13) 43803
tetradecimal (14) 3275c
pentadecimal (15) 26310

As an angle

122,190° = 339 × 360° + 150°
150° ≈ 2.618 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκβρϟʹ
Mayan (base 20)
𝋯·𝋥·𝋩·𝋪
Chinese
一十二萬二千一百九十
Chinese (financial)
壹拾貳萬貳仟壹佰玖拾
In other modern scripts
Eastern Arabic ١٢٢١٩٠ Devanagari १२२१९० Bengali ১২২১৯০ Tamil ௧௨௨௧௯௦ Thai ๑๒๒๑๙๐ Tibetan ༡༢༢༡༩༠ Khmer ១២២១៩០ Lao ໑໒໒໑໙໐ Burmese ၁၂၂၁၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122190, here are decompositions:

  • 17 + 122173 = 122190
  • 23 + 122167 = 122190
  • 41 + 122149 = 122190
  • 43 + 122147 = 122190
  • 59 + 122131 = 122190
  • 73 + 122117 = 122190
  • 109 + 122081 = 122190
  • 137 + 122053 = 122190

Showing the first eight; more decompositions exist.

Hex color
#01DD4E
RGB(1, 221, 78)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.78.

Address
0.1.221.78
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.78

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 122,190 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 122190 first appears in π at position 65,670 of the decimal expansion (the 65,670ordinal-suffix:th 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°.