42,224
42,224 is a composite number, even.
42,224 (forty-two thousand two hundred twenty-four) is an even 5-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 13 × 29. Its proper divisors sum to 61,936, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0xA4F0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 14
- Digit product
- 128
- Digital root
- 5
- Palindrome
- Yes
- Bit width
- 16 bits
- Recamán's sequence
- a(151,175) = 42,224
- Square (n²)
- 1,782,866,176
- Cube (n³)
- 75,279,741,415,424
- Divisor count
- 40
- σ(n) — sum of divisors
- 104,160
- φ(n) — Euler's totient
- 16,128
- Sum of prime factors
- 57
Primality
Prime factorization: 2 4 × 7 × 13 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√42,224 = [205; (2, 15, 1, 15, 2, 410)]
Period length 6 — the block in parentheses repeats forever.
Representations
- In words
- forty-two thousand two hundred twenty-four
- Ordinal
- 42224th
- Binary
- 1010010011110000
- Octal
- 122360
- Hexadecimal
- 0xA4F0
- Base64
- pPA=
- One's complement
- 23,311 (16-bit)
- Scientific notation
- 4.2224 × 10⁴
- As a duration
- 42,224 s = 11 hours, 43 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵μβσκδʹ
- Mayan (base 20)
- 𝋥·𝋥·𝋫·𝋤
- Chinese
- 四萬二千二百二十四
- Chinese (financial)
- 肆萬貳仟貳佰貳拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 42,224 = 7
- e — Euler's number (e)
- Digit 42,224 = 7
- φ — Golden ratio (φ)
- Digit 42,224 = 0
- √2 — Pythagoras's (√2)
- Digit 42,224 = 2
- ln 2 — Natural log of 2
- Digit 42,224 = 7
- γ — Euler-Mascheroni (γ)
- Digit 42,224 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42224, here are decompositions:
- 3 + 42221 = 42224
- 31 + 42193 = 42224
- 37 + 42187 = 42224
- 43 + 42181 = 42224
- 67 + 42157 = 42224
- 151 + 42073 = 42224
- 163 + 42061 = 42224
- 181 + 42043 = 42224
Showing the first eight; more decompositions exist.
UTF-8 encoding: EA 93 B0 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.164.240.
- Address
- 0.0.164.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.164.240
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 42224 first appears in π at position 382,576 of the decimal expansion (the 382,576ordinal-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.