122,232
122,232 is a composite number, even.
122,232 (one hundred twenty-two thousand two hundred thirty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 11 × 463. Its proper divisors sum to 211,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD78.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 48
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 232,221
- Square (n²)
- 14,940,661,824
- Cube (n³)
- 1,826,226,976,071,168
- Divisor count
- 32
- σ(n) — sum of divisors
- 334,080
- φ(n) — Euler's totient
- 36,960
- Sum of prime factors
- 483
Primality
Prime factorization: 2 3 × 3 × 11 × 463
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,232 = [349; (1, 1, 1, 1, 1, 1, 3, 4, 1, 6, 2, 1, 1, 20, 1, 1, 2, 6, 1, 4, 3, 1, 1, 1, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand two hundred thirty-two
- Ordinal
- 122232nd
- Binary
- 11101110101111000
- Octal
- 356570
- Hexadecimal
- 0x1DD78
- Base64
- Ad14
- One's complement
- 4,294,845,063 (32-bit)
- Scientific notation
- 1.22232 × 10⁵
- As a duration
- 122,232 s = 1 day, 9 hours, 57 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρκβσλβʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋫·𝋬
- Chinese
- 一十二萬二千二百三十二
- Chinese (financial)
- 壹拾貳萬貳仟貳佰參拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122232, here are decompositions:
- 13 + 122219 = 122232
- 23 + 122209 = 122232
- 29 + 122203 = 122232
- 31 + 122201 = 122232
- 59 + 122173 = 122232
- 83 + 122149 = 122232
- 101 + 122131 = 122232
- 151 + 122081 = 122232
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.120.
- Address
- 0.1.221.120
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.221.120
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 122,232 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 122232 first appears in π at position 115,544 of the decimal expansion (the 115,544ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.