233313440 has 96 divisors (see below), whose sum is σ = 602671104. Its totient is φ = 84971520.

The previous prime is 233313397. The next prime is 233313463. The reversal of 233313440 is 44313332.

It is a super-2 number, since 2×233313440² = 108870322569267200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82937 + ... + 85703.

It is an arithmetic number, because the mean of its divisors is an integer number (6277824).

Almost surely, 2^233313440 is an apocalyptic number.

233313440 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 233313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301335552).

233313440 is an abundant number, since it is smaller than the sum of its proper divisors (369357664).

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

233313440 is a wasteful number, since it uses less digits than its factorization.

233313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 233313440 is about 15274.6011404554. The cubic root of 233313440 is about 615.6207537993.

Adding to 233313440 its reverse (44313332), we get a palindrome (277626772).

The spelling of 233313440 in words is "two hundred thirty-three million, three hundred thirteen thousand, four hundred forty".