233813080 has 64 divisors (see below), whose sum is σ = 546717600. Its totient is φ = 89886720.

The previous prime is 233813077. The next prime is 233813089. The reversal of 233813080 is 80318332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233813089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409195 + ... + 409765.

Almost surely, 2^233813080 is an apocalyptic number.

233813080 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 233813080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273358800).

233813080 is an abundant number, since it is smaller than the sum of its proper divisors (312904520).

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

233813080 is a wasteful number, since it uses less digits than its factorization.

233813080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 233813080 is about 15290.9476488542. The cubic root of 233813080 is about 616.0598904495.

The spelling of 233813080 in words is "two hundred thirty-three million, eight hundred thirteen thousand, eighty".