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122,210

122,210 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.).

122,210 (one hundred twenty-two thousand two hundred ten) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 5 × 11² × 101. Written other ways, in hexadecimal, 0x1DD62.

Cube-Free Deficient Number Evil Number Gapful Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
12,221
Square (n²)
14,935,284,100
Cube (n³)
1,825,241,069,861,000
Divisor count
24
σ(n) — sum of divisors
244,188
φ(n) — Euler's totient
44,000
Sum of prime factors
130

Primality

Prime factorization: 2 × 5 × 11 2 × 101

Nearest primes: 122,209 (−1) · 122,219 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 5 · 10 · 11 · 22 · 55 · 101 · 110 · 121 · 202 · 242 · 505 · 605 · 1010 · 1111 · 1210 · 2222 · 5555 · 11110 · 12221 · 24442 · 61105 (half) · 122210
Aliquot sum (sum of proper divisors): 121,978
Factor pairs (a × b = 122,210)
1 × 122210
2 × 61105
5 × 24442
10 × 12221
11 × 11110
22 × 5555
55 × 2222
101 × 1210
110 × 1111
121 × 1010
202 × 605
242 × 505
First multiples
122,210 · 244,420 (double) · 366,630 · 488,840 · 611,050 · 733,260 · 855,470 · 977,680 · 1,099,890 · 1,222,100

Sums & aliquot sequence

As a sum of two squares: 77² + 341² = 143² + 319²
As consecutive integers: 30,551 + 30,552 + 30,553 + 30,554 24,440 + 24,441 + 24,442 + 24,443 + 24,444 11,105 + 11,106 + … + 11,115 6,101 + 6,102 + … + 6,120
Aliquot sequence: 122,210 121,978 63,782 31,894 17,354 8,680 14,360 18,040 27,320 34,240 48,056 42,064 47,216 51,736 49,064 42,946 22,394 — unresolved within range

Continued fraction of √n

√122,210 = [349; (1, 1, 2, 2, 2, 1, 5, 14, 10, 1, 2, 5, 2, 3, 3, 9, 1, 1, 5, 3, 1, 21, 1, 3, …)]

Representations

In words
one hundred twenty-two thousand two hundred ten
Ordinal
122210th
Binary
11101110101100010
Octal
356542
Hexadecimal
0x1DD62
Base64
Ad1i
One's complement
4,294,845,085 (32-bit)
Scientific notation
1.2221 × 10⁵
As a duration
122,210 s = 1 day, 9 hours, 56 minutes, 50 seconds
In other bases
ternary (3) 20012122022
quaternary (4) 131311202
quinary (5) 12402320
senary (6) 2341442
septenary (7) 1016204
nonary (9) 205568
undecimal (11) 83900
duodecimal (12) 5a882
tridecimal (13) 4381a
tetradecimal (14) 32774
pentadecimal (15) 26325

As an angle

122,210° = 339 × 360° + 170°
170° ≈ 2.967 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓎆
Greek (Milesian)
͵ρκβσιʹ
Mayan (base 20)
𝋯·𝋥·𝋪·𝋪
Chinese
一十二萬二千二百一十
Chinese (financial)
壹拾貳萬貳仟貳佰壹拾
In other modern scripts
Eastern Arabic ١٢٢٢١٠ Devanagari १२२२१० Bengali ১২২২১০ Tamil ௧௨௨௨௧௦ Thai ๑๒๒๒๑๐ Tibetan ༡༢༢༢༡༠ Khmer ១២២២១០ Lao ໑໒໒໒໑໐ Burmese ၁၂၂၂၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122210, here are decompositions:

  • 3 + 122207 = 122210
  • 7 + 122203 = 122210
  • 37 + 122173 = 122210
  • 43 + 122167 = 122210
  • 61 + 122149 = 122210
  • 79 + 122131 = 122210
  • 157 + 122053 = 122210
  • 181 + 122029 = 122210

Showing the first eight; more decompositions exist.

Hex color
#01DD62
RGB(1, 221, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.98.

Address
0.1.221.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.98

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 122,210 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 122210 first appears in π at position 252,223 of the decimal expansion (the 252,223ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.