233041032 has 192 divisors, whose sum is σ = 778377600. Its totient is φ = 61470720.

The previous prime is 233041027. The next prime is 233041051. The reversal of 233041032 is 230140332.

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

It is a junction number, because it is equal to n+sod(n) for n = 233040996 and 233041014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505282 + ... + 505742.

It is an arithmetic number, because the mean of its divisors is an integer number (4054050).

Almost surely, 2^233041032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233041032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389188800).

233041032 is an abundant number, since it is smaller than the sum of its proper divisors (545336568).

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

233041032 is a wasteful number, since it uses less digits than its factorization.

233041032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 233041032 is about 15265.6815111544. The cubic root of 233041032 is about 615.3810686110.

Adding to 233041032 its reverse (230140332), we get a palindrome (463181364).

It can be divided in two parts, 23304 and 1032, that added together give a square (24336 = 156²).

The spelling of 233041032 in words is "two hundred thirty-three million, forty-one thousand, thirty-two".