122,388
122,388 is a composite number, even.
122,388 (one hundred twenty-two thousand three hundred eighty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 31 × 47. Its proper divisors sum to 221,676, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE14.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 24
- Digit product
- 768
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 883,221
- Square (n²)
- 14,978,822,544
- Cube (n³)
- 1,833,228,133,515,072
- Divisor count
- 48
- σ(n) — sum of divisors
- 344,064
- φ(n) — Euler's totient
- 33,120
- Sum of prime factors
- 92
Primality
Prime factorization: 2 2 × 3 × 7 × 31 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,388 = [349; (1, 5, 4, 43, 2, 24, 2, 43, 4, 5, 1, 698)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand three hundred eighty-eight
- Ordinal
- 122388th
- Binary
- 11101111000010100
- Octal
- 357024
- Hexadecimal
- 0x1DE14
- Base64
- Ad4U
- One's complement
- 4,294,844,907 (32-bit)
- Scientific notation
- 1.22388 × 10⁵
- As a duration
- 122,388 s = 1 day, 9 hours, 59 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκβτπηʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋳·𝋨
- Chinese
- 一十二萬二千三百八十八
- Chinese (financial)
- 壹拾貳萬貳仟參佰捌拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122388, here are decompositions:
- 41 + 122347 = 122388
- 61 + 122327 = 122388
- 67 + 122321 = 122388
- 89 + 122299 = 122388
- 109 + 122279 = 122388
- 137 + 122251 = 122388
- 157 + 122231 = 122388
- 179 + 122209 = 122388
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.20.
- Address
- 0.1.222.20
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.222.20
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 122,388 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 122388 first appears in π at position 754,804 of the decimal expansion (the 754,804ordinal-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°.