204334400224 has 48 divisors (see below), whose sum is σ = 403335072000. Its totient is φ = 101900361600.

The previous prime is 204334400203. The next prime is 204334400227. The reversal of 204334400224 is 422004433402.

It is a happy number.

It is a super-2 number, since 2×204334400224² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204334400192 and 204334400201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204334400227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37538047 + ... + 37543489.

It is an arithmetic number, because the mean of its divisors is an integer number (8402814000).

Almost surely, 2^204334400224 is an apocalyptic number.

It is an amenable number.

204334400224 is a deficient number, since it is larger than the sum of its proper divisors (199000671776).

204334400224 is a wasteful number, since it uses less digits than its factorization.

204334400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8303 (or 8295 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 204334400224 its reverse (422004433402), we get a palindrome (626338833626).

The spelling of 204334400224 in words is "two hundred four billion, three hundred thirty-four million, four hundred thousand, two hundred twenty-four".