122,240
122,240 is a composite number, even.
122,240 (one hundred twenty-two thousand two hundred forty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 5 × 191. Its proper divisors sum to 171,520, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD80.
Interestingness
Properties
Primality
Prime factorization: 2 7 × 5 × 191
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,240 = [349; (1, 1, 1, 2, 4, 3, 1, 9, 1, 173, 1, 9, 1, 3, 4, 2, 1, 1, 1, 698)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand two hundred forty
- Ordinal
- 122240th
- Binary
- 11101110110000000
- Octal
- 356600
- Hexadecimal
- 0x1DD80
- Base64
- Ad2A
- One's complement
- 4,294,845,055 (32-bit)
- Scientific notation
- 1.2224 × 10⁵
- As a duration
- 122,240 s = 1 day, 9 hours, 57 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ρκβσμʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋬·𝋠
- Chinese
- 一十二萬二千二百四十
- Chinese (financial)
- 壹拾貳萬貳仟貳佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122240, here are decompositions:
- 31 + 122209 = 122240
- 37 + 122203 = 122240
- 67 + 122173 = 122240
- 73 + 122167 = 122240
- 109 + 122131 = 122240
- 199 + 122041 = 122240
- 211 + 122029 = 122240
- 229 + 122011 = 122240
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.128.
- Address
- 0.1.221.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.221.128
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 122,240 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 122240 first appears in π at position 838,749 of the decimal expansion (the 838,749ordinal-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.