233032224 has 96 divisors (see below), whose sum is σ = 627056640. Its totient is φ = 75756800.

The previous prime is 233032223. The next prime is 233032229. The reversal of 233032224 is 422230332.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 233032224.

It is not an unprimeable number, because it can be changed into a prime (233032223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1219969 + ... + 1220159.

It is an arithmetic number, because the mean of its divisors is an integer number (6531840).

Almost surely, 2^233032224 is an apocalyptic number.

233032224 is a gapful number since it is divisible by the number (24) 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 233032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313528320).

233032224 is an abundant number, since it is smaller than the sum of its proper divisors (394024416).

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

233032224 is a wasteful number, since it uses less digits than its factorization.

233032224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 233032224 is about 15265.3930181964. The cubic root of 233032224 is about 615.3733155489.

Adding to 233032224 its reverse (422230332), we get a palindrome (655262556).

The spelling of 233032224 in words is "two hundred thirty-three million, thirty-two thousand, two hundred twenty-four".