21,224
21,224 is a composite number, even.
21,224 (twenty-one thousand two hundred twenty-four) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 379. Its proper divisors sum to 24,376, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x52E8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 11
- Digit product
- 32
- Digital root
- 2
- Palindrome
- No
- Bit width
- 15 bits
- Reversed
- 42,212
- Recamán's sequence
- a(41,391) = 21,224
- Square (n²)
- 450,458,176
- Cube (n³)
- 9,560,524,327,424
- Divisor count
- 16
- σ(n) — sum of divisors
- 45,600
- φ(n) — Euler's totient
- 9,072
- Sum of prime factors
- 392
Primality
Prime factorization: 2 3 × 7 × 379
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√21,224 = [145; (1, 2, 5, 1, 6, 2, 3, 1, 4, 1, 1, 11, 9, 3, 4, 1, 40, 1, 4, 3, 9, 11, 1, 1, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- twenty-one thousand two hundred twenty-four
- Ordinal
- 21224th
- Binary
- 101001011101000
- Octal
- 51350
- Hexadecimal
- 0x52E8
- Base64
- Uug=
- One's complement
- 44,311 (16-bit)
- Scientific notation
- 2.1224 × 10⁴
- As a duration
- 21,224 s = 5 hours, 53 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵κασκδʹ
- Mayan (base 20)
- 𝋢·𝋭·𝋡·𝋤
- Chinese
- 二萬一千二百二十四
- Chinese (financial)
- 貳萬壹仟貳佰貳拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 21,224 = 2
- e — Euler's number (e)
- Digit 21,224 = 1
- φ — Golden ratio (φ)
- Digit 21,224 = 6
- √2 — Pythagoras's (√2)
- Digit 21,224 = 8
- ln 2 — Natural log of 2
- Digit 21,224 = 9
- γ — Euler-Mascheroni (γ)
- Digit 21,224 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21224, here are decompositions:
- 3 + 21221 = 21224
- 13 + 21211 = 21224
- 31 + 21193 = 21224
- 37 + 21187 = 21224
- 61 + 21163 = 21224
- 67 + 21157 = 21224
- 103 + 21121 = 21224
- 157 + 21067 = 21224
Showing the first eight; more decompositions exist.
UTF-8 encoding: E5 8B A8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.232.
- Address
- 0.0.82.232
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.82.232
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 21224 first appears in π at position 115,604 of the decimal expansion (the 115,604ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.