Base | Representation |
---|---|
bin | 101100011000… |
… | …1101010100100 |
3 | 1121210100022122 |
4 | 1120301222210 |
5 | 21424201400 |
6 | 2150445112 |
7 | 401544455 |
oct | 130615244 |
9 | 47710278 |
10 | 23272100 |
11 | 12155745 |
12 | 7963798 |
13 | 4a8a897 |
14 | 313b12c |
15 | 209a685 |
hex | 1631aa4 |
23272100 has 36 divisors (see below), whose sum is σ = 50712900. Its totient is φ = 9269760.
The previous prime is 23272091. The next prime is 23272127. The reversal of 23272100 is 127232.
It can be written as a sum of positive squares in 6 ways, for example, as 155236 + 23116864 = 394^2 + 4808^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40616 + ... + 41184.
Almost surely, 223272100 is an apocalyptic number.
23272100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
23272100 is an abundant number, since it is smaller than the sum of its proper divisors (27440800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23272100 is a wasteful number, since it uses less digits than its factorization.
23272100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 992 (or 985 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 17.
The square root of 23272100 is about 4824.1164994225. The cubic root of 23272100 is about 285.5037770824.
Adding to 23272100 its reverse (127232), we get a palindrome (23399332).
The spelling of 23272100 in words is "twenty-three million, two hundred seventy-two thousand, one hundred".
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