233930240 has 160 divisors (see below), whose sum is σ = 609871680. Its totient is φ = 85786624.

The previous prime is 233930239. The next prime is 233930273. The reversal of 233930240 is 42039332.

233930240 is digitally balanced in base 2, 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 (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707452 + ... + 1707588.

It is an arithmetic number, because the mean of its divisors is an integer number (3811698).

Almost surely, 2^233930240 is an apocalyptic number.

233930240 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 233930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304935840).

233930240 is an abundant number, since it is smaller than the sum of its proper divisors (375941440).

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

233930240 is a wasteful number, since it uses less digits than its factorization.

233930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 233930240 is about 15294.7781938804. The cubic root of 233930240 is about 616.1627725245.

Adding to 233930240 its reverse (42039332), we get a palindrome (275969572).

The spelling of 233930240 in words is "two hundred thirty-three million, nine hundred thirty thousand, two hundred forty".