233234624 has 56 divisors (see below), whose sum is σ = 530412960. Its totient is φ = 99680256.

The previous prime is 233234593. The next prime is 233234653. The reversal of 233234624 is 426432332.

233234624 = 120² + 121² + ... + 888².

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302912 + ... + 303680.

It is an arithmetic number, because the mean of its divisors is an integer number (9471660).

Almost surely, 2^233234624 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 233234624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265206480).

233234624 is an abundant number, since it is smaller than the sum of its proper divisors (297178336).

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

233234624 is an equidigital number, since it uses as much as digits as its factorization.

233234624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1455 counting only the distinct ones).

The product of its digits is 20736, while the sum is 29.

The square root of 233234624 is about 15272.0209533644. The cubic root of 233234624 is about 615.5514247028.

Adding to 233234624 its reverse (426432332), we get a palindrome (659666956).

The spelling of 233234624 in words is "two hundred thirty-three million, two hundred thirty-four thousand, six hundred twenty-four".