233041100 has 108 divisors (see below), whose sum is σ = 557948664. Its totient is φ = 84188160.

The previous prime is 233041093. The next prime is 233041147. The reversal of 233041100 is 1140332.

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 35 ways as a sum of consecutive naturals, for example, 1429619 + ... + 1429781.

Almost surely, 2^233041100 is an apocalyptic number.

233041100 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 233041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278974332).

233041100 is an abundant number, since it is smaller than the sum of its proper divisors (324907564).

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

233041100 is a wasteful number, since it uses less digits than its factorization.

233041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 216 counting only the distinct ones).

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

The square root of 233041100 is about 15265.6837383722. The cubic root of 233041100 is about 615.3811284658.

Adding to 233041100 its reverse (1140332), we get a palindrome (234181432).

The spelling of 233041100 in words is "two hundred thirty-three million, forty-one thousand, one hundred".