204233013 has 24 divisors (see below), whose sum is σ = 303390360. Its totient is φ = 132311040.

The previous prime is 204233011. The next prime is 204233039. The reversal of 204233013 is 310332402.

It can be written as a sum of positive squares in 4 ways, for example, as 27688644 + 176544369 = 5262^2 + 13287^2 .

It is not a de Polignac number, because 204233013 - 2¹ = 204233011 is a prime.

It is a super-2 number, since 2×204233013² = 83422247198116338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204233011) 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 23 ways as a sum of consecutive naturals, for example, 107173 + ... + 109061.

It is an arithmetic number, because the mean of its divisors is an integer number (12641265).

Almost surely, 2^204233013 is an apocalyptic number.

It is an amenable number.

204233013 is a deficient number, since it is larger than the sum of its proper divisors (99157347).

204233013 is a wasteful number, since it uses less digits than its factorization.

204233013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2226 counting only the distinct ones).

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

The square root of 204233013 is about 14291.0116156975. The cubic root of 204233013 is about 588.9005792242.

Adding to 204233013 its reverse (310332402), we get a palindrome (514565415).

It can be divided in two parts, 20423 and 3013, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 204233013 in words is "two hundred four million, two hundred thirty-three thousand, thirteen".