122,364
122,364 is a composite number, even.
122,364 (one hundred twenty-two thousand three hundred sixty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 11 × 103. Its proper divisors sum to 227,076, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DDFC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 288
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 463,221
- Square (n²)
- 14,972,948,496
- Cube (n³)
- 1,832,149,869,764,544
- Divisor count
- 48
- σ(n) — sum of divisors
- 349,440
- φ(n) — Euler's totient
- 36,720
- Sum of prime factors
- 127
Primality
Prime factorization: 2 2 × 3 3 × 11 × 103
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,364 = [349; (1, 4, 6, 1, 6, 1, 1, 77, 4, 1, 62, 1, 4, 77, 1, 1, 6, 1, 6, 4, 1, 698)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand three hundred sixty-four
- Ordinal
- 122364th
- Binary
- 11101110111111100
- Octal
- 356774
- Hexadecimal
- 0x1DDFC
- Base64
- Ad38
- One's complement
- 4,294,844,931 (32-bit)
- Scientific notation
- 1.22364 × 10⁵
- As a duration
- 122,364 s = 1 day, 9 hours, 59 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκβτξδʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋲·𝋤
- Chinese
- 一十二萬二千三百六十四
- Chinese (financial)
- 壹拾貳萬貳仟參佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122364, here are decompositions:
- 17 + 122347 = 122364
- 37 + 122327 = 122364
- 41 + 122323 = 122364
- 43 + 122321 = 122364
- 97 + 122267 = 122364
- 101 + 122263 = 122364
- 113 + 122251 = 122364
- 157 + 122207 = 122364
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.252.
- Address
- 0.1.221.252
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.221.252
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 122,364 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 122364 first appears in π at position 509,898 of the decimal expansion (the 509,898ordinal-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°.