Base | Representation |
---|---|
bin | 101100000101… |
… | …0110010110000 |
3 | 1121111020220121 |
4 | 1120022302300 |
5 | 21404103010 |
6 | 2143220024 |
7 | 400312330 |
oct | 130126260 |
9 | 47436817 |
10 | 23112880 |
11 | 1205705a |
12 | 78a7614 |
13 | 4a3327b |
14 | 30d90c0 |
15 | 20683da |
hex | 160acb0 |
23112880 has 80 divisors (see below), whose sum is σ = 62049600. Its totient is φ = 7842816.
The previous prime is 23112863. The next prime is 23112883. The reversal of 23112880 is 8821132.
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (23112883) 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, 83302 + ... + 83578.
It is an arithmetic number, because the mean of its divisors is an integer number (775620).
Almost surely, 223112880 is an apocalyptic number.
23112880 is a gapful number since it is divisible by the number (20) 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 23112880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31024800).
23112880 is an abundant number, since it is smaller than the sum of its proper divisors (38936720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23112880 is a wasteful number, since it uses less digits than its factorization.
23112880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 446 (or 440 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 25.
The square root of 23112880 is about 4807.5856726636. The cubic root of 23112880 is about 284.8511790994.
The spelling of 23112880 in words is "twenty-three million, one hundred twelve thousand, eight hundred eighty".
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