Base | Representation |
---|---|
bin | 101100100110… |
… | …0101100100000 |
3 | 1121222222012020 |
4 | 1121030230200 |
5 | 21441222231 |
6 | 2153101440 |
7 | 402515322 |
oct | 131145440 |
9 | 47888166 |
10 | 23382816 |
11 | 12220946 |
12 | 79b7880 |
13 | 4ac90b2 |
14 | 3169612 |
15 | 20bd396 |
hex | 164cb20 |
23382816 has 96 divisors (see below), whose sum is σ = 65499840. Its totient is φ = 7289856.
The previous prime is 23382791. The next prime is 23382823. The reversal of 23382816 is 61828332.
It is a tau number, because it is divible by the number of its divisors (96).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102895 + ... + 103121.
It is an arithmetic number, because the mean of its divisors is an integer number (682290).
Almost surely, 223382816 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23382816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32749920).
23382816 is an abundant number, since it is smaller than the sum of its proper divisors (42117024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23382816 is a wasteful number, since it uses less digits than its factorization.
23382816 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 306 (or 298 counting only the distinct ones).
The product of its digits is 13824, while the sum is 33.
The square root of 23382816 is about 4835.5781453721. The cubic root of 23382816 is about 285.9558182358.
The spelling of 23382816 in words is "twenty-three million, three hundred eighty-two thousand, eight hundred sixteen".
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