116,220
116,220 is a composite number, even.
116,220 (one hundred sixteen thousand two hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 13 × 149. Its proper divisors sum to 236,580, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C5FC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 22,611
- Square (n²)
- 13,507,088,400
- Cube (n³)
- 1,569,793,813,848,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 352,800
- φ(n) — Euler's totient
- 28,416
- Sum of prime factors
- 174
Primality
Prime factorization: 2 2 × 3 × 5 × 13 × 149
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√116,220 = [340; (1, 10, 5, 1, 1, 2, 4, 170, 4, 2, 1, 1, 5, 10, 1, 680)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixteen thousand two hundred twenty
- Ordinal
- 116220th
- Binary
- 11100010111111100
- Octal
- 342774
- Hexadecimal
- 0x1C5FC
- Base64
- AcX8
- One's complement
- 4,294,851,075 (32-bit)
- Scientific notation
- 1.1622 × 10⁵
- As a duration
- 116,220 s = 1 day, 8 hours, 17 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ριϛσκʹ
- Mayan (base 20)
- 𝋮·𝋪·𝋫·𝋠
- Chinese
- 一十一萬六千二百二十
- Chinese (financial)
- 壹拾壹萬陸仟貳佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116220, here are decompositions:
- 19 + 116201 = 116220
- 29 + 116191 = 116220
- 31 + 116189 = 116220
- 43 + 116177 = 116220
- 53 + 116167 = 116220
- 61 + 116159 = 116220
- 79 + 116141 = 116220
- 89 + 116131 = 116220
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.197.252.
- Address
- 0.1.197.252
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.197.252
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 116,220 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 116220 first appears in π at position 107,276 of the decimal expansion (the 107,276ordinal-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°.