233041564 has 48 divisors (see below), whose sum is σ = 486763200. Its totient is φ = 95510016.

The previous prime is 233041541. The next prime is 233041579. The reversal of 233041564 is 465140332.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87192 + ... + 89824.

It is an arithmetic number, because the mean of its divisors is an integer number (10140900).

Almost surely, 2^233041564 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 233041564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243381600).

233041564 is an abundant number, since it is smaller than the sum of its proper divisors (253721636).

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

233041564 is a wasteful number, since it uses less digits than its factorization.

233041564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 233041564 is about 15265.6989358496. The cubic root of 233041564 is about 615.3815368868.

Adding to 233041564 its reverse (465140332), we get a palindrome (698181896).

The spelling of 233041564 in words is "two hundred thirty-three million, forty-one thousand, five hundred sixty-four".