122,616
122,616 is a composite number, even.
122,616 (one hundred twenty-two thousand six hundred sixteen) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 13 × 131. Its proper divisors sum to 237,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DEF8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 144
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 616,221
- Recamán's sequence
- a(30,204) = 122,616
- Square (n²)
- 15,034,683,456
- Cube (n³)
- 1,843,492,746,640,896
- Divisor count
- 48
- σ(n) — sum of divisors
- 360,360
- φ(n) — Euler's totient
- 37,440
- Sum of prime factors
- 156
Primality
Prime factorization: 2 3 × 3 2 × 13 × 131
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√122,616 = [350; (6, 27, 1, 5, 1, 1, 11, 1, 29, 1, 1, 8, 7, 3, 1, 13, 1, 1, 6, 1, 5, 1, 6, 1, …)]
Period length 42 — the block in parentheses repeats forever.
Representations
- In words
- one hundred twenty-two thousand six hundred sixteen
- Ordinal
- 122616th
- Binary
- 11101111011111000
- Octal
- 357370
- Hexadecimal
- 0x1DEF8
- Base64
- Ad74
- One's complement
- 4,294,844,679 (32-bit)
- Scientific notation
- 1.22616 × 10⁵
- As a duration
- 122,616 s = 1 day, 10 hours, 3 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρκβχιϛʹ
- Mayan (base 20)
- 𝋯·𝋦·𝋪·𝋰
- Chinese
- 一十二萬二千六百一十六
- Chinese (financial)
- 壹拾貳萬貳仟陸佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122616, here are decompositions:
- 5 + 122611 = 122616
- 7 + 122609 = 122616
- 17 + 122599 = 122616
- 19 + 122597 = 122616
- 37 + 122579 = 122616
- 59 + 122557 = 122616
- 83 + 122533 = 122616
- 89 + 122527 = 122616
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.248.
- Address
- 0.1.222.248
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.222.248
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 122,616 and was likely granted around 1871.
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°.