233515140 has 96 divisors (see below), whose sum is σ = 675682560. Its totient is φ = 60212736.

The previous prime is 233515123. The next prime is 233515141. The reversal of 233515140 is 41515332.

It is a self number, because there is not a number n which added to its sum of digits gives 233515140.

It is not an unprimeable number, because it can be changed into a prime (233515141) 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, 650281 + ... + 650639.

It is an arithmetic number, because the mean of its divisors is an integer number (7038360).

Almost surely, 2^233515140 is an apocalyptic number.

233515140 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 233515140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337841280).

233515140 is an abundant number, since it is smaller than the sum of its proper divisors (442167420).

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

233515140 is a wasteful number, since it uses less digits than its factorization.

233515140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 233515140 is about 15281.2021778393. The cubic root of 233515140 is about 615.7981045501.

The spelling of 233515140 in words is "two hundred thirty-three million, five hundred fifteen thousand, one hundred forty".