1,024,224
1,024,224 is a composite number, even.
1,024,224 (one million twenty-four thousand two hundred twenty-four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 47 × 227. Its proper divisors sum to 1,733,664, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFA0E0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 7
- Digit sum
- 15
- Digit product
- 0
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 4,224,201
- Square (n²)
- 1,049,034,802,176
- Cube (n³)
- 1,074,446,621,223,911,424
- Divisor count
- 48
- σ(n) — sum of divisors
- 2,757,888
- φ(n) — Euler's totient
- 332,672
- Sum of prime factors
- 287
Primality
Prime factorization: 2 5 × 3 × 47 × 227
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,024,224 = [1012; (25, 3, 3, 19, 1, 15, 1, 3, 2, 20, 2, 2, 1, 3, 134, 1, 2, 41, 1, 5, 33, 1, 1, 3, …)]
Representations
- In words
- one million twenty-four thousand two hundred twenty-four
- Ordinal
- 1024224th
- Binary
- 11111010000011100000
- Octal
- 3720340
- Hexadecimal
- 0xFA0E0
- Base64
- D6Dg
- One's complement
- 4,293,943,071 (32-bit)
- Scientific notation
- 1.024224 × 10⁶
- As a duration
- 1,024,224 s = 11 days, 20 hours, 30 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Chinese
- 一百零二萬四千二百二十四
- Chinese (financial)
- 壹佰零貳萬肆仟貳佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1024224, here are decompositions:
- 17 + 1024207 = 1024224
- 41 + 1024183 = 1024224
- 53 + 1024171 = 1024224
- 73 + 1024151 = 1024224
- 137 + 1024087 = 1024224
- 151 + 1024073 = 1024224
- 163 + 1024061 = 1024224
- 193 + 1024031 = 1024224
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.160.224.
- Address
- 0.15.160.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.160.224
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Could be parsed as a date. Most likely interpretation: Friday, January 2, 4224 (MDDYYYY (US, single-digit month)).
Other possible interpretations (3)
- 4224-02-01 (DMMYYYY (Euro, single-digit day))
- 4224-10-02 (MMDYYYY (US, single-digit day))
- 4224-02-10 (DDMYYYY (Euro, single-digit month))
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,024,224 and was likely granted around 1912.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.