133,224
133,224 is a composite number, even.
133,224 (one hundred thirty-three thousand two hundred twenty-four) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 7 × 13 × 61. Its proper divisors sum to 283,416, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20868.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 144
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 422,331
- Square (n²)
- 17,748,634,176
- Cube (n³)
- 2,364,544,039,463,424
- Divisor count
- 64
- σ(n) — sum of divisors
- 416,640
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 90
Primality
Prime factorization: 2 3 × 3 × 7 × 13 × 61
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,224 = [364; (1, 728)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand two hundred twenty-four
- Ordinal
- 133224th
- Binary
- 100000100001101000
- Octal
- 404150
- Hexadecimal
- 0x20868
- Base64
- Agho
- One's complement
- 4,294,834,071 (32-bit)
- Scientific notation
- 1.33224 × 10⁵
- As a duration
- 133,224 s = 1 day, 13 hours, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγσκδʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋡·𝋤
- Chinese
- 一十三萬三千二百二十四
- Chinese (financial)
- 壹拾參萬參仟貳佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133224, here are decompositions:
- 11 + 133213 = 133224
- 23 + 133201 = 133224
- 37 + 133187 = 133224
- 41 + 133183 = 133224
- 67 + 133157 = 133224
- 71 + 133153 = 133224
- 103 + 133121 = 133224
- 107 + 133117 = 133224
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A1 A8 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.104.
- Address
- 0.2.8.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.8.104
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 133,224 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 133224 first appears in π at position 448,594 of the decimal expansion (the 448,594ordinal-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°.