233212100 has 72 divisors (see below), whose sum is σ = 565651296. Its totient is φ = 82720000.

The previous prime is 233212081. The next prime is 233212121. The reversal of 233212100 is 1212332.

It is a happy number.

It is an unprimeable number.

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, 42515 + ... + 47685.

It is an arithmetic number, because the mean of its divisors is an integer number (7856268).

Almost surely, 2^233212100 is an apocalyptic number.

233212100 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 233212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282825648).

233212100 is an abundant number, since it is smaller than the sum of its proper divisors (332439196).

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

233212100 is a wasteful number, since it uses less digits than its factorization.

233212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 233212100 is about 15271.2835085987. The cubic root of 233212100 is about 615.5316089962.

Adding to 233212100 its reverse (1212332), we get a palindrome (234424432).

It can be divided in two parts, 23 and 3212100, that added together give a palindrome (3212123).

The spelling of 233212100 in words is "two hundred thirty-three million, two hundred twelve thousand, one hundred".