110,220
110,220 is a composite number, even.
110,220 (one hundred ten thousand two hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 11 × 167. Its proper divisors sum to 228,468, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1AE8C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 6
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 22,011
- Recamán's sequence
- a(248,856) = 110,220
- Square (n²)
- 12,148,448,400
- Cube (n³)
- 1,339,001,982,648,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 338,688
- φ(n) — Euler's totient
- 26,560
- Sum of prime factors
- 190
Primality
Prime factorization: 2 2 × 3 × 5 × 11 × 167
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√110,220 = [331; (1, 164, 1, 662)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred ten thousand two hundred twenty
- Ordinal
- 110220th
- Binary
- 11010111010001100
- Octal
- 327214
- Hexadecimal
- 0x1AE8C
- Base64
- Aa6M
- One's complement
- 4,294,857,075 (32-bit)
- Scientific notation
- 1.1022 × 10⁵
- As a duration
- 110,220 s = 1 day, 6 hours, 37 minutes
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρισκʹ
- Mayan (base 20)
- 𝋭·𝋯·𝋫·𝋠
- Chinese
- 一十一萬零二百二十
- Chinese (financial)
- 壹拾壹萬零貳佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110220, here are decompositions:
- 37 + 110183 = 110220
- 59 + 110161 = 110220
- 101 + 110119 = 110220
- 137 + 110083 = 110220
- 151 + 110069 = 110220
- 157 + 110063 = 110220
- 181 + 110039 = 110220
- 197 + 110023 = 110220
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.174.140.
- Address
- 0.1.174.140
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.174.140
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 110,220 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 110220 first appears in π at position 687,474 of the decimal expansion (the 687,474ordinal-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°.