233681952 has 96 divisors (see below), whose sum is σ = 717437952. Its totient is φ = 65205504.

The previous prime is 233681947. The next prime is 233681957. The reversal of 233681952 is 259186332.

233681952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233681947) and next prime (233681957).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 233681952.

It is not an unprimeable number, because it can be changed into a prime (233681957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24853 + ... + 32939.

It is an arithmetic number, because the mean of its divisors is an integer number (7473312).

Almost surely, 2^233681952 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 233681952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358718976).

233681952 is an abundant number, since it is smaller than the sum of its proper divisors (483756000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233681952 is a wasteful number, since it uses less digits than its factorization.

233681952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8150 (or 8142 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 233681952 is about 15286.6592818706. The cubic root of 233681952 is about 615.9447018444.

The spelling of 233681952 in words is "two hundred thirty-three million, six hundred eighty-one thousand, nine hundred fifty-two".