233000442 has 64 divisors (see below), whose sum is σ = 559008000. Its totient is φ = 71717184.

The previous prime is 233000429. The next prime is 233000447. The reversal of 233000442 is 244000332.

233000442 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (233000447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32784 + ... + 39252.

It is an arithmetic number, because the mean of its divisors is an integer number (8734500).

Almost surely, 2^233000442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233000442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279504000).

233000442 is an abundant number, since it is smaller than the sum of its proper divisors (326007558).

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

233000442 is a wasteful number, since it uses less digits than its factorization.

233000442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532 (or 6526 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 233000442 is about 15264.3520006583. The cubic root of 233000442 is about 615.3453384684.

Adding to 233000442 its reverse (244000332), we get a palindrome (477000774).

The spelling of 233000442 in words is "two hundred thirty-three million, four hundred forty-two", and thus it is an aban number.