Base | Representation |
---|---|
bin | 11011011111101… |
… | …01001100000000 |
3 | 121001222211221022 |
4 | 31233311030000 |
5 | 433021024212 |
6 | 34515245012 |
7 | 5500266626 |
oct | 1557651400 |
9 | 531884838 |
10 | 230642432 |
11 | 109212089 |
12 | 652a9768 |
13 | 38a25817 |
14 | 228bb516 |
15 | 153ad772 |
hex | dbf5300 |
230642432 has 72 divisors (see below), whose sum is σ = 476824320. Its totient is φ = 111288320.
The previous prime is 230642381. The next prime is 230642473. The reversal of 230642432 is 234246032.
230642432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1207457 + ... + 1207647.
It is an arithmetic number, because the mean of its divisors is an integer number (6622560).
Almost surely, 2230642432 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 230642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238412160).
230642432 is an abundant number, since it is smaller than the sum of its proper divisors (246181888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230642432 is an equidigital number, since it uses as much as digits as its factorization.
230642432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 349 (or 335 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 26.
The square root of 230642432 is about 15186.9164743868. The cubic root of 230642432 is about 613.2624912927.
Adding to 230642432 its reverse (234246032), we get a palindrome (464888464).
The spelling of 230642432 in words is "two hundred thirty million, six hundred forty-two thousand, four hundred thirty-two".
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