233313700 has 72 divisors (see below), whose sum is σ = 536215680. Its totient is φ = 87964800.

The previous prime is 233313697. The next prime is 233313709. The reversal of 233313700 is 7313332.

It is not an unprimeable number, because it can be changed into a prime (233313709) 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 23 ways as a sum of consecutive naturals, for example, 123765 + ... + 125635.

It is an arithmetic number, because the mean of its divisors is an integer number (7447440).

Almost surely, 2^233313700 is an apocalyptic number.

233313700 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 233313700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

233313700 is an abundant number, since it is smaller than the sum of its proper divisors (302901980).

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

233313700 is a wasteful number, since it uses less digits than its factorization.

233313700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 22.

The square root of 233313700 is about 15274.6096513135. The cubic root of 233313700 is about 615.6209824778.

The spelling of 233313700 in words is "two hundred thirty-three million, three hundred thirteen thousand, seven hundred".