122,816
122,816 is a composite number, even.
122,816 (one hundred twenty-two thousand eight hundred sixteen) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 19 × 101. Its proper divisors sum to 136,264, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DFC0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 192
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 618,221
- Square (n²)
- 15,083,769,856
- Cube (n³)
- 1,852,528,278,634,496
- Divisor count
- 28
- σ(n) — sum of divisors
- 259,080
- φ(n) — Euler's totient
- 57,600
- Sum of prime factors
- 132
Primality
Prime factorization: 2 6 × 19 × 101
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,816 = [350; (2, 4, 1, 1, 1, 1, 1, 1, 5, 27, 1, 6, 22, 2, 6, 1, 8, 175, 8, 1, 6, 2, 22, 6, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand eight hundred sixteen
- Ordinal
- 122816th
- Binary
- 11101111111000000
- Octal
- 357700
- Hexadecimal
- 0x1DFC0
- Base64
- Ad/A
- One's complement
- 4,294,844,479 (32-bit)
- Scientific notation
- 1.22816 × 10⁵
- As a duration
- 122,816 s = 1 day, 10 hours, 6 minutes, 56 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκβωιϛʹ
- Mayan (base 20)
- 𝋯·𝋧·𝋠·𝋰
- Chinese
- 一十二萬二千八百一十六
- Chinese (financial)
- 壹拾貳萬貳仟捌佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122816, here are decompositions:
- 73 + 122743 = 122816
- 97 + 122719 = 122816
- 163 + 122653 = 122816
- 283 + 122533 = 122816
- 307 + 122509 = 122816
- 313 + 122503 = 122816
- 367 + 122449 = 122816
- 373 + 122443 = 122816
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.223.192.
- Address
- 0.1.223.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.223.192
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 122,816 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 122816 first appears in π at position 19,455 of the decimal expansion (the 19,455ordinal-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.