122,208
122,208 is a composite number, even.
122,208 (one hundred twenty-two thousand two hundred eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 19 × 67. Its proper divisors sum to 220,512, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD60.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 802,221
- Square (n²)
- 14,934,795,264
- Cube (n³)
- 1,825,151,459,622,912
- Divisor count
- 48
- σ(n) — sum of divisors
- 342,720
- φ(n) — Euler's totient
- 38,016
- Sum of prime factors
- 99
Primality
Prime factorization: 2 5 × 3 × 19 × 67
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,208 = [349; (1, 1, 2, 1, 1, 8, 1, 173, 1, 8, 1, 1, 2, 1, 1, 698)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand two hundred eight
- Ordinal
- 122208th
- Binary
- 11101110101100000
- Octal
- 356540
- Hexadecimal
- 0x1DD60
- Base64
- Ad1g
- One's complement
- 4,294,845,087 (32-bit)
- Scientific notation
- 1.22208 × 10⁵
- As a duration
- 122,208 s = 1 day, 9 hours, 56 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκβσηʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋪·𝋨
- Chinese
- 一十二萬二千二百零八
- Chinese (financial)
- 壹拾貳萬貳仟貳佰零捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122208, here are decompositions:
- 5 + 122203 = 122208
- 7 + 122201 = 122208
- 41 + 122167 = 122208
- 59 + 122149 = 122208
- 61 + 122147 = 122208
- 109 + 122099 = 122208
- 127 + 122081 = 122208
- 139 + 122069 = 122208
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.96.
- Address
- 0.1.221.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.221.96
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 122,208 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 122208 first appears in π at position 453,173 of the decimal expansion (the 453,173ordinal-suffix:rd 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°.