470,220
470,220 is a composite number, even.
470,220 (four hundred seventy thousand two hundred twenty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 17 × 461. Its proper divisors sum to 926,868, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72CCC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 22,074
- Square (n²)
- 221,106,848,400
- Cube (n³)
- 103,968,862,254,648,000
- Divisor count
- 48
- σ(n) — sum of divisors
- 1,397,088
- φ(n) — Euler's totient
- 117,760
- Sum of prime factors
- 490
Primality
Prime factorization: 2 2 × 3 × 5 × 17 × 461
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√470,220 = [685; (1, 2, 1, 1, 1, 5, 2, 1, 5, 7, 1, 15, 2, 4, 2, 2, 2, 1, 1, 1, 1, 6, 13, 27, …)]
Representations
- In words
- four hundred seventy thousand two hundred twenty
- Ordinal
- 470220th
- Binary
- 1110010110011001100
- Octal
- 1626314
- Hexadecimal
- 0x72CCC
- Base64
- ByzM
- One's complement
- 4,294,497,075 (32-bit)
- Scientific notation
- 4.7022 × 10⁵
- As a duration
- 470,220 s = 5 days, 10 hours, 37 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵υοσκʹ
- Chinese
- 四十七萬零二百二十
- Chinese (financial)
- 肆拾柒萬零貳佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470220, here are decompositions:
- 7 + 470213 = 470220
- 11 + 470209 = 470220
- 13 + 470207 = 470220
- 19 + 470201 = 470220
- 41 + 470179 = 470220
- 53 + 470167 = 470220
- 59 + 470161 = 470220
- 67 + 470153 = 470220
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.44.204.
- Address
- 0.7.44.204
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.44.204
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 470,220 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 470220 first appears in π at position 852,435 of the decimal expansion (the 852,435ordinal-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°.