233125200 has 540 divisors, whose sum is σ = 1044614688. Its totient is φ = 46771200.

The previous prime is 233125159. The next prime is 233125201. The reversal of 233125200 is 2521332.

233125200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233125201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8038786 + ... + 8038814.

Almost surely, 2^233125200 is an apocalyptic number.

233125200 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 233125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522307344).

233125200 is an abundant number, since it is smaller than the sum of its proper divisors (811489488).

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

233125200 is a wasteful number, since it uses less digits than its factorization.

233125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 233125200 is about 15268.4380340623. The cubic root of 233125200 is about 615.4551459224.

Adding to 233125200 its reverse (2521332), we get a palindrome (235646532).

The spelling of 233125200 in words is "two hundred thirty-three million, one hundred twenty-five thousand, two hundred".