122,864
122,864 is a composite number, even.
122,864 (one hundred twenty-two thousand eight hundred sixty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 1,097. Its proper divisors sum to 149,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DFF0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 768
- Digital root
- 5
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 468,221
- Square (n²)
- 15,095,562,496
- Cube (n³)
- 1,854,701,190,508,544
- Divisor count
- 20
- σ(n) — sum of divisors
- 272,304
- φ(n) — Euler's totient
- 52,608
- Sum of prime factors
- 1,112
Primality
Prime factorization: 2 4 × 7 × 1097
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,864 = [350; (1, 1, 12, 4, 14, 1, 2, 27, 1, 2, 2, 1, 12, 21, 1, 4, 1, 5, 4, 1, 2, 1, 2, 1, …)]
Representations
- In words
- one hundred twenty-two thousand eight hundred sixty-four
- Ordinal
- 122864th
- Binary
- 11101111111110000
- Octal
- 357760
- Hexadecimal
- 0x1DFF0
- Base64
- Ad/w
- One's complement
- 4,294,844,431 (32-bit)
- Scientific notation
- 1.22864 × 10⁵
- As a duration
- 122,864 s = 1 day, 10 hours, 7 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκβωξδʹ
- Mayan (base 20)
- 𝋯·𝋧·𝋣·𝋤
- Chinese
- 一十二萬二千八百六十四
- Chinese (financial)
- 壹拾貳萬貳仟捌佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122864, here are decompositions:
- 3 + 122861 = 122864
- 31 + 122833 = 122864
- 37 + 122827 = 122864
- 103 + 122761 = 122864
- 163 + 122701 = 122864
- 211 + 122653 = 122864
- 307 + 122557 = 122864
- 331 + 122533 = 122864
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.240.
- Address
- 0.1.223.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.223.240
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 122,864 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 122864 first appears in π at position 787,095 of the decimal expansion (the 787,095ordinal-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.