233525500 has 96 divisors (see below), whose sum is σ = 564677568. Its totient is φ = 83808000.

The previous prime is 233525497. The next prime is 233525519. The reversal of 233525500 is 5525332.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 240015 + ... + 240985.

It is an arithmetic number, because the mean of its divisors is an integer number (5882058).

Almost surely, 2^233525500 is an apocalyptic number.

233525500 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 233525500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282338784).

233525500 is an abundant number, since it is smaller than the sum of its proper divisors (331152068).

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

233525500 is a wasteful number, since it uses less digits than its factorization.

233525500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 233525500 is about 15281.5411526456. The cubic root of 233525500 is about 615.8072111317.

The spelling of 233525500 in words is "two hundred thirty-three million, five hundred twenty-five thousand, five hundred".