Base | Representation |
---|---|
bin | 11011110000011… |
… | …11110000110000 |
3 | 121020010221000000 |
4 | 31320033300300 |
5 | 434102122212 |
6 | 35034430000 |
7 | 5525115255 |
oct | 1570176060 |
9 | 536127000 |
10 | 232848432 |
11 | 10a489523 |
12 | 65b92300 |
13 | 3931894b |
14 | 22cd342c |
15 | 156971dc |
hex | de0fc30 |
232848432 has 70 divisors (see below), whose sum is σ = 676440212. Its totient is φ = 77612256.
The previous prime is 232848431. The next prime is 232848457. The reversal of 232848432 is 234848232.
It is a happy number.
232848432 is nontrivially palindromic in base 7.
232848432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 not an unprimeable number, because it can be changed into a prime (232848431) by changing a digit.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1683 + ... + 21645.
Almost surely, 2232848432 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 232848432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338220106).
232848432 is an abundant number, since it is smaller than the sum of its proper divisors (443591780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232848432 is an equidigital number, since it uses as much as digits as its factorization.
232848432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 19989 (or 19968 counting only the distinct ones).
The product of its digits is 73728, while the sum is 36.
The square root of 232848432 is about 15259.3719398932. The cubic root of 232848432 is about 615.2114918068.
The spelling of 232848432 in words is "two hundred thirty-two million, eight hundred forty-eight thousand, four hundred thirty-two".
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