120,224
120,224 is a composite number, even.
120,224 (one hundred twenty thousand two hundred twenty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 13 × 17². Its proper divisors sum to 150,550, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D5A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 422,021
- Square (n²)
- 14,453,810,176
- Cube (n³)
- 1,737,694,874,599,424
- Divisor count
- 36
- σ(n) — sum of divisors
- 270,774
- φ(n) — Euler's totient
- 52,224
- Sum of prime factors
- 57
Primality
Prime factorization: 2 5 × 13 × 17 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√120,224 = [346; (1, 2, 1, 2, 1, 692)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty thousand two hundred twenty-four
- Ordinal
- 120224th
- Binary
- 11101010110100000
- Octal
- 352640
- Hexadecimal
- 0x1D5A0
- Base64
- AdWg
- One's complement
- 4,294,847,071 (32-bit)
- Scientific notation
- 1.20224 × 10⁵
- As a duration
- 120,224 s = 1 day, 9 hours, 23 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκσκδʹ
- Mayan (base 20)
- 𝋯·𝋠·𝋫·𝋤
- Chinese
- 一十二萬零二百二十四
- Chinese (financial)
- 壹拾貳萬零貳佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 120224, here are decompositions:
- 31 + 120193 = 120224
- 43 + 120181 = 120224
- 61 + 120163 = 120224
- 67 + 120157 = 120224
- 103 + 120121 = 120224
- 127 + 120097 = 120224
- 157 + 120067 = 120224
- 241 + 119983 = 120224
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9D 96 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.213.160.
- Address
- 0.1.213.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.213.160
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 120,224 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.