122,265
122,265 is a composite number, odd.
122,265 (one hundred twenty-two thousand two hundred sixty-five) is an odd 6-digit number. It is a composite number with 48 divisors, and factors as 3² × 5 × 11 × 13 × 19. Its proper divisors sum to 139,815, more than the number itself, making it an abundant number. It is the 494th triangular number. Written other ways, in hexadecimal, 0x1DD99.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 240
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 562,221
- Square (n²)
- 14,948,730,225
- Cube (n³)
- 1,827,706,500,959,625
- Divisor count
- 48
- σ(n) — sum of divisors
- 262,080
- φ(n) — Euler's totient
- 51,840
- Sum of prime factors
- 54
Primality
Prime factorization: 3 2 × 5 × 11 × 13 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,265 = [349; (1, 1, 1, 43, 24, 10, 1, 7, 1, 2, 1, 1, 1, 2, 10, 2, 1, 1, 1, 2, 1, 7, 1, 10, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand two hundred sixty-five
- Ordinal
- 122265th
- Binary
- 11101110110011001
- Octal
- 356631
- Hexadecimal
- 0x1DD99
- Base64
- Ad2Z
- One's complement
- 4,294,845,030 (32-bit)
- Scientific notation
- 1.22265 × 10⁵
- As a duration
- 122,265 s = 1 day, 9 hours, 57 minutes, 45 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκβσξεʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋭·𝋥
- Chinese
- 一十二萬二千二百六十五
- Chinese (financial)
- 壹拾貳萬貳仟貳佰陸拾伍
Also seen as
As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.153.
- Address
- 0.1.221.153
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.221.153
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 122,265 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 122265 first appears in π at position 271,755 of the decimal expansion (the 271,755ordinal-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
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Amicable numbers — Pairs of numbers, each the sum of the other's divisors — a Pythagorean symbol of friendship.
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.