233274200 has 96 divisors (see below), whose sum is σ = 563468400. Its totient is φ = 89756160.

The previous prime is 233274199. The next prime is 233274271. The reversal of 233274200 is 2472332.

233274200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625214 + ... + 625586.

Almost surely, 2^233274200 is an apocalyptic number.

233274200 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 233274200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281734200).

233274200 is an abundant number, since it is smaller than the sum of its proper divisors (330194200).

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

233274200 is a wasteful number, since it uses less digits than its factorization.

233274200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 233274200 is about 15273.3166011839. The cubic root of 233274200 is about 615.5862389812.

The spelling of 233274200 in words is "two hundred thirty-three million, two hundred seventy-four thousand, two hundred".