138,224
138,224 is a composite number, even.
138,224 (one hundred thirty-eight thousand two hundred twenty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 53 × 163. Written other ways, in hexadecimal, 0x21BF0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 20
- Digit product
- 384
- Digital root
- 2
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 422,831
- Recamán's sequence
- a(492,379) = 138,224
- Square (n²)
- 19,105,874,176
- Cube (n³)
- 2,640,890,352,103,424
- Divisor count
- 20
- σ(n) — sum of divisors
- 274,536
- φ(n) — Euler's totient
- 67,392
- Sum of prime factors
- 224
Primality
Prime factorization: 2 4 × 53 × 163
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√138,224 = [371; (1, 3, 1, 1, 1, 5, 1, 1, 105, 1, 2, 6, 4, 14, 1, 14, 4, 6, 2, 1, 105, 1, 1, 5, …)]
Period length 30 — the block in parentheses repeats forever.
Representations
- In words
- one hundred thirty-eight thousand two hundred twenty-four
- Ordinal
- 138224th
- Binary
- 100001101111110000
- Octal
- 415760
- Hexadecimal
- 0x21BF0
- Base64
- Ahvw
- One's complement
- 4,294,829,071 (32-bit)
- Scientific notation
- 1.38224 × 10⁵
- As a duration
- 138,224 s = 1 day, 14 hours, 23 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρλησκδʹ
- Mayan (base 20)
- 𝋱·𝋥·𝋫·𝋤
- Chinese
- 一十三萬八千二百二十四
- Chinese (financial)
- 壹拾參萬捌仟貳佰貳拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138224, here are decompositions:
- 43 + 138181 = 138224
- 61 + 138163 = 138224
- 67 + 138157 = 138224
- 241 + 137983 = 138224
- 277 + 137947 = 138224
- 283 + 137941 = 138224
- 313 + 137911 = 138224
- 397 + 137827 = 138224
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A1 AF B0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.240.
- Address
- 0.2.27.240
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.27.240
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 138,224 and was likely granted around 1872.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 138224 first appears in π at position 531,210 of the decimal expansion (the 531,210ordinal-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.