112,200
112,200 is a composite number, even.
112,200 (one hundred twelve thousand two hundred) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5² × 11 × 17. Its proper divisors sum to 289,560, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B648.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 6
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 2,211
- Recamán's sequence
- a(246,900) = 112,200
- Square (n²)
- 12,588,840,000
- Cube (n³)
- 1,412,467,848,000,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 401,760
- φ(n) — Euler's totient
- 25,600
- Sum of prime factors
- 47
Primality
Prime factorization: 2 3 × 3 × 5 2 × 11 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√112,200 = [334; (1, 25, 1, 3, 1, 25, 1, 668)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twelve thousand two hundred
- Ordinal
- 112200th
- Binary
- 11011011001001000
- Octal
- 333110
- Hexadecimal
- 0x1B648
- Base64
- AbZI
- One's complement
- 4,294,855,095 (32-bit)
- Scientific notation
- 1.122 × 10⁵
- As a duration
- 112,200 s = 1 day, 7 hours, 10 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹 𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓍢𓍢
- Greek (Milesian)
- ͵ριβσʹ
- Mayan (base 20)
- 𝋮·𝋠·𝋪·𝋠
- Chinese
- 一十一萬二千二百
- Chinese (financial)
- 壹拾壹萬貳仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112200, here are decompositions:
- 19 + 112181 = 112200
- 37 + 112163 = 112200
- 47 + 112153 = 112200
- 61 + 112139 = 112200
- 71 + 112129 = 112200
- 79 + 112121 = 112200
- 89 + 112111 = 112200
- 97 + 112103 = 112200
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.182.72.
- Address
- 0.1.182.72
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.182.72
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 112,200 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 112200 first appears in π at position 75,091 of the decimal expansion (the 75,091ordinal-suffix:st 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°.