122,264
122,264 is a composite number, even.
122,264 (one hundred twenty-two thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 17 × 29 × 31. Its proper divisors sum to 136,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD98.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 17
- Digit product
- 192
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 462,221
- Square (n²)
- 14,948,485,696
- Cube (n³)
- 1,827,661,655,135,744
- Divisor count
- 32
- σ(n) — sum of divisors
- 259,200
- φ(n) — Euler's totient
- 53,760
- Sum of prime factors
- 83
Primality
Prime factorization: 2 3 × 17 × 29 × 31
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,264 = [349; (1, 1, 1, 27, 3, 3, 1, 4, 4, 2, 2, 1, 2, 4, 1, 1, 1, 2, 13, 14, 5, 14, 13, 2, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand two hundred sixty-four
- Ordinal
- 122264th
- Binary
- 11101110110011000
- Octal
- 356630
- Hexadecimal
- 0x1DD98
- Base64
- Ad2Y
- One's complement
- 4,294,845,031 (32-bit)
- Scientific notation
- 1.22264 × 10⁵
- As a duration
- 122,264 s = 1 day, 9 hours, 57 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκβσξδʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋭·𝋤
- Chinese
- 一十二萬二千二百六十四
- Chinese (financial)
- 壹拾貳萬貳仟貳佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122264, here are decompositions:
- 13 + 122251 = 122264
- 61 + 122203 = 122264
- 97 + 122167 = 122264
- 211 + 122053 = 122264
- 223 + 122041 = 122264
- 271 + 121993 = 122264
- 313 + 121951 = 122264
- 397 + 121867 = 122264
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.152.
- Address
- 0.1.221.152
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.221.152
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 122,264 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.