133,216
133,216 is a composite number, even.
133,216 (one hundred thirty-three thousand two hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 23 × 181. Its proper divisors sum to 141,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20860.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 16
- Digit product
- 108
- Digital root
- 7
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 612,331
- Square (n²)
- 17,746,502,656
- Cube (n³)
- 2,364,118,097,821,696
- Divisor count
- 24
- σ(n) — sum of divisors
- 275,184
- φ(n) — Euler's totient
- 63,360
- Sum of prime factors
- 214
Primality
Prime factorization: 2 5 × 23 × 181
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,216 = [364; (1, 80, 9, 8, 1, 9, 9, 7, 5, 3, 1, 3, 48, 2, 1, 1, 48, 15, 5, 2, 1, 14, 1, 1, …)]
Representations
- In words
- one hundred thirty-three thousand two hundred sixteen
- Ordinal
- 133216th
- Binary
- 100000100001100000
- Octal
- 404140
- Hexadecimal
- 0x20860
- Base64
- Aghg
- One's complement
- 4,294,834,079 (32-bit)
- Scientific notation
- 1.33216 × 10⁵
- As a duration
- 133,216 s = 1 day, 13 hours, 16 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλγσιϛʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋠·𝋰
- Chinese
- 一十三萬三千二百一十六
- Chinese (financial)
- 壹拾參萬參仟貳佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133216, here are decompositions:
- 3 + 133213 = 133216
- 29 + 133187 = 133216
- 47 + 133169 = 133216
- 59 + 133157 = 133216
- 107 + 133109 = 133216
- 113 + 133103 = 133216
- 227 + 132989 = 133216
- 263 + 132953 = 133216
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A1 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.96.
- Address
- 0.2.8.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.8.96
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 133,216 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 133216 first appears in π at position 653,396 of the decimal expansion (the 653,396ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.