Base | Representation |
---|---|
bin | 101100100110… |
… | …0100111100100 |
3 | 1121222221202112 |
4 | 1121030213210 |
5 | 21441220000 |
6 | 2153100152 |
7 | 402514361 |
oct | 131144744 |
9 | 47887675 |
10 | 23382500 |
11 | 12220689 |
12 | 79b7658 |
13 | 4ac8bcb |
14 | 3169468 |
15 | 20bd235 |
hex | 164c9e4 |
23382500 has 60 divisors (see below), whose sum is σ = 52483200. Its totient is φ = 9108000.
The previous prime is 23382473. The next prime is 23382509. The reversal of 23382500 is 528332.
It is not an unprimeable number, because it can be changed into a prime (23382509) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 117401 + ... + 117599.
It is an arithmetic number, because the mean of its divisors is an integer number (874720).
Almost surely, 223382500 is an apocalyptic number.
23382500 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 23382500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26241600).
23382500 is an abundant number, since it is smaller than the sum of its proper divisors (29100700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23382500 is a wasteful number, since it uses less digits than its factorization.
23382500 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 270 (or 253 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 23.
The square root of 23382500 is about 4835.5454707820. The cubic root of 23382500 is about 285.9545300755.
The spelling of 23382500 in words is "twenty-three million, three hundred eighty-two thousand, five hundred".
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