122,220
122,220 is a composite number, even.
122,220 (one hundred twenty-two thousand two hundred twenty) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2² × 3² × 5 × 7 × 97. Its proper divisors sum to 305,844, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DD6C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 22,221
- Square (n²)
- 14,937,728,400
- Cube (n³)
- 1,825,689,165,048,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 428,064
- φ(n) — Euler's totient
- 27,648
- Sum of prime factors
- 119
Primality
Prime factorization: 2 2 × 3 2 × 5 × 7 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,220 = [349; (1, 1, 2, 174, 2, 1, 1, 698)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand two hundred twenty
- Ordinal
- 122220th
- Binary
- 11101110101101100
- Octal
- 356554
- Hexadecimal
- 0x1DD6C
- Base64
- Ad1s
- One's complement
- 4,294,845,075 (32-bit)
- Scientific notation
- 1.2222 × 10⁵
- As a duration
- 122,220 s = 1 day, 9 hours, 57 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρκβσκʹ
- Mayan (base 20)
- 𝋯·𝋥·𝋫·𝋠
- Chinese
- 一十二萬二千二百二十
- Chinese (financial)
- 壹拾貳萬貳仟貳佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122220, here are decompositions:
- 11 + 122209 = 122220
- 13 + 122207 = 122220
- 17 + 122203 = 122220
- 19 + 122201 = 122220
- 47 + 122173 = 122220
- 53 + 122167 = 122220
- 71 + 122149 = 122220
- 73 + 122147 = 122220
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.221.108.
- Address
- 0.1.221.108
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.221.108
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 122,220 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 122220 first appears in π at position 71,777 of the decimal expansion (the 71,777ordinal-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°.