133,220
133,220 is a composite number, even.
133,220 (one hundred thirty-three thousand two hundred twenty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,661. Its proper divisors sum to 146,584, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20864.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 22,331
- Square (n²)
- 17,747,568,400
- Cube (n³)
- 2,364,331,062,248,000
- Divisor count
- 12
- σ(n) — sum of divisors
- 279,804
- φ(n) — Euler's totient
- 53,280
- Sum of prime factors
- 6,670
Primality
Prime factorization: 2 2 × 5 × 6661
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√133,220 = [364; (1, 144, 1, 728)]
Period length 4 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-three thousand two hundred twenty
- Ordinal
- 133220th
- Binary
- 100000100001100100
- Octal
- 404144
- Hexadecimal
- 0x20864
- Base64
- Aghk
- One's complement
- 4,294,834,075 (32-bit)
- Scientific notation
- 1.3322 × 10⁵
- As a duration
- 133,220 s = 1 day, 13 hours, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρλγσκʹ
- Mayan (base 20)
- 𝋰·𝋭·𝋡·𝋠
- Chinese
- 一十三萬三千二百二十
- Chinese (financial)
- 壹拾參萬參仟貳佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133220, here are decompositions:
- 7 + 133213 = 133220
- 19 + 133201 = 133220
- 37 + 133183 = 133220
- 67 + 133153 = 133220
- 103 + 133117 = 133220
- 151 + 133069 = 133220
- 181 + 133039 = 133220
- 271 + 132949 = 133220
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A0 A1 A4 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.100.
- Address
- 0.2.8.100
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.8.100
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 133,220 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 133220 first appears in π at position 677,849 of the decimal expansion (the 677,849ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.