233564116 has 24 divisors (see below), whose sum is σ = 413894376. Its totient is φ = 115315200.

The previous prime is 233564081. The next prime is 233564119. The reversal of 233564116 is 611465332.

It can be written as a sum of positive squares in 4 ways, for example, as 2402500 + 231161616 = 1550^2 + 15204^2 .

It is a super-3 number, since 3×233564116³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233564119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248800 + ... + 249736.

It is an arithmetic number, because the mean of its divisors is an integer number (17245599).

Almost surely, 2^233564116 is an apocalyptic number.

It is an amenable number.

233564116 is a deficient number, since it is larger than the sum of its proper divisors (180330260).

233564116 is a wasteful number, since it uses less digits than its factorization.

233564116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1657 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 233564116 is about 15282.8045855465. The cubic root of 233564116 is about 615.8411527506.

It can be divided in two parts, 23356 and 4116, that added together give a palindrome (27472).

The spelling of 233564116 in words is "two hundred thirty-three million, five hundred sixty-four thousand, one hundred sixteen".