233224240 has 40 divisors (see below), whose sum is σ = 570789360. Its totient is φ = 88379136.

The previous prime is 233224237. The next prime is 233224267. The reversal of 233224240 is 42422332.

233224240 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 (40).

It is a super-2 number, since 2×233224240² = 108787092247155200, which contains 22 as substring.

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, 75199 + ... + 78238.

It is an arithmetic number, because the mean of its divisors is an integer number (14269734).

Almost surely, 2^233224240 is an apocalyptic number.

233224240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233224240 is an abundant number, since it is smaller than the sum of its proper divisors (337565120).

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

233224240 is a wasteful number, since it uses less digits than its factorization.

233224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153469 (or 153463 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 233224240 is about 15271.6809814768. The cubic root of 233224240 is about 615.5422894370.

Adding to 233224240 its reverse (42422332), we get a palindrome (275646572).

The spelling of 233224240 in words is "two hundred thirty-three million, two hundred twenty-four thousand, two hundred forty".