233120424 has 128 divisors (see below), whose sum is σ = 647337600. Its totient is φ = 69672960.

The previous prime is 233120413. The next prime is 233120429. The reversal of 233120424 is 424021332.

It is a self number, because there is not a number n which added to its sum of digits gives 233120424.

It is not an unprimeable number, because it can be changed into a prime (233120429) 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 31 ways as a sum of consecutive naturals, for example, 691584 + ... + 691920.

It is an arithmetic number, because the mean of its divisors is an integer number (5057325).

Almost surely, 2^233120424 is an apocalyptic number.

233120424 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 233120424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323668800).

233120424 is an abundant number, since it is smaller than the sum of its proper divisors (414217176).

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

233120424 is a wasteful number, since it uses less digits than its factorization.

233120424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 233120424 is about 15268.2816321942. The cubic root of 233120424 is about 615.4509429822.

Adding to 233120424 its reverse (424021332), we get a palindrome (657141756).

The spelling of 233120424 in words is "two hundred thirty-three million, one hundred twenty thousand, four hundred twenty-four".