Base | Representation |
---|---|
bin | 101100010111… |
… | …0011100000000 |
3 | 1121202200012000 |
4 | 1120232130000 |
5 | 21423241010 |
6 | 2150304000 |
7 | 401461101 |
oct | 130563400 |
9 | 47680160 |
10 | 23258880 |
11 | 12146817 |
12 | 7958000 |
13 | 4a84868 |
14 | 31363a8 |
15 | 20967c0 |
hex | 162e700 |
23258880 has 144 divisors (see below), whose sum is σ = 82659360. Its totient is φ = 6193152.
The previous prime is 23258867. The next prime is 23258887. The reversal of 23258880 is 8885232.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23258887) 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, 34224 + ... + 34896.
Almost surely, 223258880 is an apocalyptic number.
23258880 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 23258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41329680).
23258880 is an abundant number, since it is smaller than the sum of its proper divisors (59400480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23258880 is an equidigital number, since it uses as much as digits as its factorization.
23258880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 703 (or 683 counting only the distinct ones).
The product of its (nonzero) digits is 30720, while the sum is 36.
The square root of 23258880 is about 4822.7461056954. The cubic root of 23258880 is about 285.4497055425.
The spelling of 23258880 in words is "twenty-three million, two hundred fifty-eight thousand, eight hundred eighty".
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