122,448
122,448 is a composite number, even.
122,448 (one hundred twenty-two thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 2,551. Its proper divisors sum to 194,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE50.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 512
- Digital root
- 3
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 844,221
- Square (n²)
- 14,993,512,704
- Cube (n³)
- 1,835,925,643,579,392
- Divisor count
- 20
- σ(n) — sum of divisors
- 316,448
- φ(n) — Euler's totient
- 40,800
- Sum of prime factors
- 2,562
Primality
Prime factorization: 2 4 × 3 × 2551
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,448 = [349; (1, 12, 2, 5, 1, 3, 3, 2, 1, 1, 2, 13, 1, 8, 1, 1, 1, 10, 3, 1, 1, 3, 17, 1, …)]
Period length 54 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand four hundred forty-eight
- Ordinal
- 122448th
- Binary
- 11101111001010000
- Octal
- 357120
- Hexadecimal
- 0x1DE50
- Base64
- Ad5Q
- One's complement
- 4,294,844,847 (32-bit)
- Scientific notation
- 1.22448 × 10⁵
- As a duration
- 122,448 s = 1 day, 10 hours, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκβυμηʹ
- Mayan (base 20)
- 𝋯·𝋦·𝋢·𝋨
- Chinese
- 一十二萬二千四百四十八
- Chinese (financial)
- 壹拾貳萬貳仟肆佰肆拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122448, here are decompositions:
- 5 + 122443 = 122448
- 47 + 122401 = 122448
- 59 + 122389 = 122448
- 61 + 122387 = 122448
- 101 + 122347 = 122448
- 127 + 122321 = 122448
- 149 + 122299 = 122448
- 181 + 122267 = 122448
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.80.
- Address
- 0.1.222.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.222.80
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 122,448 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 122448 first appears in π at position 484,532 of the decimal expansion (the 484,532ordinal-suffix:nd 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°.