233208240 has 80 divisors (see below), whose sum is σ = 733786368. Its totient is φ = 61256448.

The previous prime is 233208203. The next prime is 233208251. The reversal of 233208240 is 42802332.

233208240 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 233208240.

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, 8829 + ... + 23331.

Almost surely, 2^233208240 is an apocalyptic number.

233208240 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 233208240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366893184).

233208240 is an abundant number, since it is smaller than the sum of its proper divisors (500578128).

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

233208240 is a wasteful number, since it uses less digits than its factorization.

233208240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14586 (or 14580 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 233208240 is about 15271.1571270811. The cubic root of 233208240 is about 615.5282129959.

The spelling of 233208240 in words is "two hundred thirty-three million, two hundred eight thousand, two hundred forty".