472,224
472,224 is a composite number, even.
472,224 (four hundred seventy-two thousand two hundred twenty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 4,919. Its proper divisors sum to 767,616, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x734A0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 896
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 422,274
- Square (n²)
- 222,995,506,176
- Cube (n³)
- 105,303,829,908,455,424
- Divisor count
- 24
- σ(n) — sum of divisors
- 1,239,840
- φ(n) — Euler's totient
- 157,376
- Sum of prime factors
- 4,932
Primality
Prime factorization: 2 5 × 3 × 4919
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,224 = [687; (5, 2, 1, 1, 3, 41, 2, 1, 2, 2, 2, 1, 7, 1, 1, 10, 1, 4, 1, 4, 2, 1, 4, 2, …)]
Representations
- In words
- four hundred seventy-two thousand two hundred twenty-four
- Ordinal
- 472224th
- Binary
- 1110011010010100000
- Octal
- 1632240
- Hexadecimal
- 0x734A0
- Base64
- BzSg
- One's complement
- 4,294,495,071 (32-bit)
- Scientific notation
- 4.72224 × 10⁵
- As a duration
- 472,224 s = 5 days, 11 hours, 10 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοβσκδʹ
- Chinese
- 四十七萬二千二百二十四
- Chinese (financial)
- 肆拾柒萬貳仟貳佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472224, here are decompositions:
- 31 + 472193 = 472224
- 61 + 472163 = 472224
- 73 + 472151 = 472224
- 97 + 472127 = 472224
- 101 + 472123 = 472224
- 113 + 472111 = 472224
- 157 + 472067 = 472224
- 167 + 472057 = 472224
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.160.
- Address
- 0.7.52.160
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.52.160
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 472,224 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 472224 first appears in π at position 300,831 of the decimal expansion (the 300,831ordinal-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°.