16,224
16,224 is a composite number, even.
16,224 (sixteen thousand two hundred twenty-four) is an even 5-digit number. It is a composite number with 36 divisors, and factors as 2⁵ × 3 × 13². Its proper divisors sum to 29,892, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3F60.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 15
- Digit product
- 96
- Digital root
- 6
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 42,261
- Recamán's sequence
- a(18,264) = 16,224
- Square (n²)
- 263,218,176
- Cube (n³)
- 4,270,451,687,424
- Divisor count
- 36
- σ(n) — sum of divisors
- 46,116
- φ(n) — Euler's totient
- 4,992
- Sum of prime factors
- 39
Primality
Prime factorization: 2 5 × 3 × 13 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√16,224 = [127; (2, 1, 2, 9, 1, 4, 2, 2, 10, 1, 2, 63, 2, 1, 10, 2, 2, 4, 1, 9, 2, 1, 2, 254)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- sixteen thousand two hundred twenty-four
- Ordinal
- 16224th
- Binary
- 11111101100000
- Octal
- 37540
- Hexadecimal
- 0x3F60
- Base64
- P2A=
- One's complement
- 49,311 (16-bit)
- Scientific notation
- 1.6224 × 10⁴
- As a duration
- 16,224 s = 4 hours, 30 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιϛσκδʹ
- Mayan (base 20)
- 𝋢·𝋠·𝋫·𝋤
- Chinese
- 一萬六千二百二十四
- Chinese (financial)
- 壹萬陸仟貳佰貳拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 16,224 = 9
- e — Euler's number (e)
- Digit 16,224 = 9
- φ — Golden ratio (φ)
- Digit 16,224 = 9
- √2 — Pythagoras's (√2)
- Digit 16,224 = 7
- ln 2 — Natural log of 2
- Digit 16,224 = 7
- γ — Euler-Mascheroni (γ)
- Digit 16,224 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16224, here are decompositions:
- 7 + 16217 = 16224
- 31 + 16193 = 16224
- 37 + 16187 = 16224
- 41 + 16183 = 16224
- 83 + 16141 = 16224
- 97 + 16127 = 16224
- 113 + 16111 = 16224
- 127 + 16097 = 16224
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 BD A0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.63.96.
- Address
- 0.0.63.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.63.96
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 16,224 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B9 (15804.3 Hz, +45¢ — about midway to C10)
- Scientific pitch (C4 = 256 Hz): C10 (16384 Hz, -17¢)
- Baroque pitch (A4 = 415 Hz): C10 (15792.7 Hz, +47¢ — about midway to C♯10)
The digit sequence 16224 first appears in π at position 75,784 of the decimal expansion (the 75,784ordinal-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°.