Base | Representation |
---|---|
bin | 101100010010… |
… | …0000000100000 |
3 | 1121200111120210 |
4 | 1120210000200 |
5 | 21420404120 |
6 | 2145334120 |
7 | 401222412 |
oct | 130440040 |
9 | 47614523 |
10 | 23216160 |
11 | 12117710 |
12 | 7937340 |
13 | 4a6b296 |
14 | 31249b2 |
15 | 2088ce0 |
hex | 1624020 |
23216160 has 96 divisors (see below), whose sum is σ = 79797312. Its totient is φ = 5626880.
The previous prime is 23216147. The next prime is 23216183. The reversal of 23216160 is 6161232.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
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, 3082 + ... + 7478.
It is an arithmetic number, because the mean of its divisors is an integer number (831222).
Almost surely, 223216160 is an apocalyptic number.
23216160 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 23216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39898656).
23216160 is an abundant number, since it is smaller than the sum of its proper divisors (56581152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23216160 is a wasteful number, since it uses less digits than its factorization.
23216160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4426 (or 4418 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 21.
The square root of 23216160 is about 4818.3150581920. The cubic root of 23216160 is about 285.2748349132.
Adding to 23216160 its reverse (6161232), we get a palindrome (29377392).
It can be divided in two parts, 232161 and 60, that added together give a triangular number (232221 = T681).
The spelling of 23216160 in words is "twenty-three million, two hundred sixteen thousand, one hundred sixty".
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