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122,216

122,216 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.).

122,216 (one hundred twenty-two thousand two hundred sixteen) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 15,277. Written other ways, in hexadecimal, 0x1DD68.

Deficient Number Evil Number Refactorable Number Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
48
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
612,221
Square (n²)
14,936,750,656
Cube (n³)
1,825,509,918,173,696
Divisor count
8
σ(n) — sum of divisors
229,170
φ(n) — Euler's totient
61,104
Sum of prime factors
15,283

Primality

Prime factorization: 2 3 × 15277

Nearest primes: 122,209 (−7) · 122,219 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 15277 · 30554 · 61108 (half) · 122216
Aliquot sum (sum of proper divisors): 106,954
Factor pairs (a × b = 122,216)
1 × 122216
2 × 61108
4 × 30554
8 × 15277
First multiples
122,216 · 244,432 (double) · 366,648 · 488,864 · 611,080 · 733,296 · 855,512 · 977,728 · 1,099,944 · 1,222,160

Sums & aliquot sequence

As a sum of two squares: 50² + 346²
As consecutive integers: 7,631 + 7,632 + … + 7,646
Aliquot sequence: 122,216 106,954 56,666 31,354 16,634 8,320 13,100 15,544 15,056 14,146 9,038 4,522 4,118 2,362 1,184 1,210 1,184 — enters a cycle

Continued fraction of √n

√122,216 = [349; (1, 1, 2, 6, 3, 10, 2, 3, 1, 1, 1, 16, 1, 5, 4, 10, 1, 1, 14, 2, 1, 4, 1, 27, …)]

Representations

In words
one hundred twenty-two thousand two hundred sixteen
Ordinal
122216th
Binary
11101110101101000
Octal
356550
Hexadecimal
0x1DD68
Base64
Ad1o
One's complement
4,294,845,079 (32-bit)
Scientific notation
1.22216 × 10⁵
As a duration
122,216 s = 1 day, 9 hours, 56 minutes, 56 seconds
In other bases
ternary (3) 20012122112
quaternary (4) 131311220
quinary (5) 12402331
senary (6) 2341452
septenary (7) 1016213
nonary (9) 205575
undecimal (11) 83906
duodecimal (12) 5a888
tridecimal (13) 43823
tetradecimal (14) 3277a
pentadecimal (15) 2632b

As an angle

122,216° = 339 × 360° + 176°
176° ≈ 3.072 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβσιϛʹ
Mayan (base 20)
𝋯·𝋥·𝋪·𝋰
Chinese
一十二萬二千二百一十六
Chinese (financial)
壹拾貳萬貳仟貳佰壹拾陸
In other modern scripts
Eastern Arabic ١٢٢٢١٦ Devanagari १२२२१६ Bengali ১২২২১৬ Tamil ௧௨௨௨௧௬ Thai ๑๒๒๒๑๖ Tibetan ༡༢༢༢༡༦ Khmer ១២២២១៦ Lao ໑໒໒໒໑໖ Burmese ၁၂၂၂၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122216, here are decompositions:

  • 7 + 122209 = 122216
  • 13 + 122203 = 122216
  • 43 + 122173 = 122216
  • 67 + 122149 = 122216
  • 163 + 122053 = 122216
  • 223 + 121993 = 122216
  • 307 + 121909 = 122216
  • 349 + 121867 = 122216

Showing the first eight; more decompositions exist.

Hex color
#01DD68
RGB(1, 221, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.104.

Address
0.1.221.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.221.104

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 122,216 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 122216 first appears in π at position 206,730 of the decimal expansion (the 206,730ordinal-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

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