233088096 has 48 divisors (see below), whose sum is σ = 614476800. Its totient is φ = 77363328.

The previous prime is 233088091. The next prime is 233088133. The reversal of 233088096 is 690880332.

233088096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233088091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17865 + ... + 28023.

It is an arithmetic number, because the mean of its divisors is an integer number (12801600).

Almost surely, 2^233088096 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 233088096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307238400).

233088096 is an abundant number, since it is smaller than the sum of its proper divisors (381388704).

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

233088096 is a wasteful number, since it uses less digits than its factorization.

233088096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10411 (or 10403 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 233088096 is about 15267.2229301861. Note that the first 3 decimals coincide. The cubic root of 233088096 is about 615.4224924250.

The spelling of 233088096 in words is "two hundred thirty-three million, eighty-eight thousand, ninety-six".