Base | Representation |
---|---|
bin | 101100001111… |
… | …0100000110000 |
3 | 1121122100201000 |
4 | 1120132200300 |
5 | 21414144043 |
6 | 2145042000 |
7 | 401066652 |
oct | 130364060 |
9 | 47570630 |
10 | 23193648 |
11 | 12101805 |
12 | 7926300 |
13 | 4a60c6a |
14 | 311a6d2 |
15 | 20822d3 |
hex | 161e830 |
23193648 has 80 divisors (see below), whose sum is σ = 67897440. Its totient is φ = 7577856.
The previous prime is 23193619. The next prime is 23193671. The reversal of 23193648 is 84639132.
23193648 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 3 + 648 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
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, 22390 + ... + 23402.
It is an arithmetic number, because the mean of its divisors is an integer number (848718).
Almost surely, 223193648 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 23193648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33948720).
23193648 is an abundant number, since it is smaller than the sum of its proper divisors (44703792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23193648 is a wasteful number, since it uses less digits than its factorization.
23193648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1083 (or 1071 counting only the distinct ones).
The product of its digits is 31104, while the sum is 36.
The square root of 23193648 is about 4815.9784052672. The cubic root of 23193648 is about 285.1825976673.
The spelling of 23193648 in words is "twenty-three million, one hundred ninety-three thousand, six hundred forty-eight".
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