10,220
10,220 is a composite number, even.
10,220 (ten thousand two hundred twenty) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 7 × 73. Its proper divisors sum to 14,644, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x27EC.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 5
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 2,201
- Recamán's sequence
- a(5,699) = 10,220
- Square (n²)
- 104,448,400
- Cube (n³)
- 1,067,462,648,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 24,864
- φ(n) — Euler's totient
- 3,456
- Sum of prime factors
- 89
Primality
Prime factorization: 2 2 × 5 × 7 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√10,220 = [101; (10, 1, 1, 1, 3, 50, 3, 1, 1, 1, 10, 202)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- ten thousand two hundred twenty
- Ordinal
- 10220th
- Binary
- 10011111101100
- Octal
- 23754
- Hexadecimal
- 0x27EC
- Base64
- J+w=
- One's complement
- 55,315 (16-bit)
- Scientific notation
- 1.022 × 10⁴
- As a duration
- 10,220 s = 2 hours, 50 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋
- Egyptian hieroglyphic
- 𓂍𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ισκʹ
- Mayan (base 20)
- 𝋡·𝋥·𝋫·𝋠
- Chinese
- 一萬零二百二十
- Chinese (financial)
- 壹萬零貳佰貳拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 10,220 = 8
- e — Euler's number (e)
- Digit 10,220 = 3
- φ — Golden ratio (φ)
- Digit 10,220 = 8
- √2 — Pythagoras's (√2)
- Digit 10,220 = 0
- ln 2 — Natural log of 2
- Digit 10,220 = 6
- γ — Euler-Mascheroni (γ)
- Digit 10,220 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10220, here are decompositions:
- 43 + 10177 = 10220
- 61 + 10159 = 10220
- 79 + 10141 = 10220
- 109 + 10111 = 10220
- 127 + 10093 = 10220
- 151 + 10069 = 10220
- 181 + 10039 = 10220
- 211 + 10009 = 10220
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 9F AC (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.236.
- Address
- 0.0.39.236
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.39.236
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 10,220 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +45¢ — about midway to E9)
- Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -17¢)
- Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +47¢ — about midway to F9)
The digit sequence 10220 first appears in π at position 281,641 of the decimal expansion (the 281,641ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.