Base | Representation |
---|---|
bin | 101100001001… |
… | …0111110000000 |
3 | 1121112221211220 |
4 | 1120102332000 |
5 | 21411140433 |
6 | 2144035040 |
7 | 400512060 |
oct | 130227600 |
9 | 47487756 |
10 | 23146368 |
11 | 1207a233 |
12 | 7902a80 |
13 | 4a4559b |
14 | 31073a0 |
15 | 20732b3 |
hex | 1612f80 |
23146368 has 128 divisors (see below), whose sum is σ = 71808000. Its totient is φ = 6469632.
The previous prime is 23146327. The next prime is 23146369. The reversal of 23146368 is 86364132.
It is a tau number, because it is divible by the number of its divisors (128).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23146369) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212298 + ... + 212406.
It is an arithmetic number, because the mean of its divisors is an integer number (561000).
Almost surely, 223146368 is an apocalyptic number.
23146368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35904000).
23146368 is an abundant number, since it is smaller than the sum of its proper divisors (48661632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23146368 is a wasteful number, since it uses less digits than its factorization.
23146368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 212 (or 200 counting only the distinct ones).
The product of its digits is 20736, while the sum is 33.
The square root of 23146368 is about 4811.0672412678. The cubic root of 23146368 is about 284.9886853003.
The spelling of 23146368 in words is "twenty-three million, one hundred forty-six thousand, three hundred sixty-eight".
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