Base | Representation |
---|---|
bin | 11011110000111… |
… | …01000101011000 |
3 | 121020020200212001 |
4 | 31320131011120 |
5 | 434110344000 |
6 | 35035530344 |
7 | 5525433331 |
oct | 1570350530 |
9 | 536220761 |
10 | 232903000 |
11 | 10a516520 |
12 | 65bb99b4 |
13 | 39337735 |
14 | 22d09288 |
15 | 156a846a |
hex | de1d158 |
232903000 has 128 divisors (see below), whose sum is σ = 614615040. Its totient is φ = 81840000.
The previous prime is 232902977. The next prime is 232903003. The reversal of 232903000 is 309232.
232903000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (232903003) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340659 + ... + 341341.
It is an arithmetic number, because the mean of its divisors is an integer number (4801680).
Almost surely, 2232903000 is an apocalyptic number.
232903000 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 232903000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307307520).
232903000 is an abundant number, since it is smaller than the sum of its proper divisors (381712040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232903000 is a wasteful number, since it uses less digits than its factorization.
232903000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 746 (or 732 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 19.
The square root of 232903000 is about 15261.1598510729. The cubic root of 232903000 is about 615.2595462978.
The spelling of 232903000 in words is "two hundred thirty-two million, nine hundred three thousand".
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