233320100 has 72 divisors (see below), whose sum is σ = 550959528. Its totient is φ = 85248000.

The previous prime is 233320099. The next prime is 233320117. The reversal of 233320100 is 1023332.

233320100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 41165056 + 192155044 = 6416^2 + 13862^2 .

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, 130412 + ... + 132188.

Almost surely, 2^233320100 is an apocalyptic number.

233320100 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 233320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275479764).

233320100 is an abundant number, since it is smaller than the sum of its proper divisors (317639428).

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

233320100 is a wasteful number, since it uses less digits than its factorization.

233320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1905 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 233320100 is about 15274.8191478655. The cubic root of 233320100 is about 615.6266114347.

Adding to 233320100 its reverse (1023332), we get a palindrome (234343432).

The spelling of 233320100 in words is "two hundred thirty-three million, three hundred twenty thousand, one hundred".