Base | Representation |
---|---|
bin | 101101101011… |
… | …0101110101000 |
3 | 1200001200202101 |
4 | 1123112232220 |
5 | 22112320300 |
6 | 2213143144 |
7 | 410361553 |
oct | 133265650 |
9 | 50050671 |
10 | 23948200 |
11 | 12577701 |
12 | 802aab4 |
13 | 4c66543 |
14 | 327569a |
15 | 2180b6a |
hex | 16d6ba8 |
23948200 has 48 divisors (see below), whose sum is σ = 57613500. Its totient is φ = 9246720.
The previous prime is 23948191. The next prime is 23948237. The reversal of 23948200 is 284932.
It can be written as a sum of positive squares in 6 ways, for example, as 9523396 + 14424804 = 3086^2 + 3798^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3736 + ... + 7864.
Almost surely, 223948200 is an apocalyptic number.
23948200 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 23948200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28806750).
23948200 is an abundant number, since it is smaller than the sum of its proper divisors (33665300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23948200 is a wasteful number, since it uses less digits than its factorization.
23948200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4174 (or 4165 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 28.
The square root of 23948200 is about 4893.6898144447. The cubic root of 23948200 is about 288.2422408923.
The spelling of 23948200 in words is "twenty-three million, nine hundred forty-eight thousand, two hundred".
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