233131104 has 72 divisors (see below), whose sum is σ = 664962480. Its totient is φ = 77476608.

The previous prime is 233131103. The next prime is 233131111. The reversal of 233131104 is 401131332.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×233131104² = 108700223304517632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233131103) 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 11 ways as a sum of consecutive naturals, for example, 113317 + ... + 115355.

It is an arithmetic number, because the mean of its divisors is an integer number (9235590).

Almost surely, 2^233131104 is an apocalyptic number.

233131104 is a gapful number since it is divisible by the number (24) 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 233131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332481240).

233131104 is an abundant number, since it is smaller than the sum of its proper divisors (431831376).

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

233131104 is a wasteful number, since it uses less digits than its factorization.

233131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 233131104 is about 15268.6313728507. The cubic root of 233131104 is about 615.4603414376.

Adding to 233131104 its reverse (401131332), we get a palindrome (634262436).

The spelling of 233131104 in words is "two hundred thirty-three million, one hundred thirty-one thousand, one hundred four".