233106900 has 72 divisors (see below), whose sum is σ = 726349344. Its totient is φ = 57379200.

The previous prime is 233106899. The next prime is 233106943. The reversal of 233106900 is 9601332.

It is a super-2 number, since 2×233106900² = 108677653655220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 25986 + ... + 33785.

Almost surely, 2^233106900 is an apocalyptic number.

233106900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233106900 is an abundant number, since it is smaller than the sum of its proper divisors (493242444).

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

233106900 is a wasteful number, since it uses less digits than its factorization.

233106900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59801 (or 59794 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 233106900 is about 15267.8387468561. The cubic root of 233106900 is about 615.4390413802.

The spelling of 233106900 in words is "two hundred thirty-three million, one hundred six thousand, nine hundred".