205032224 has 24 divisors (see below), whose sum is σ = 410278428. Its totient is φ = 100834560.

The previous prime is 205032193. The next prime is 205032227. The reversal of 205032224 is 422230502.

It can be written as a sum of positive squares in 2 ways, for example, as 136142224 + 68890000 = 11668^2 + 8300^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205032196 and 205032205.

It is not an unprimeable number, because it can be changed into a prime (205032227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50567 + ... + 54470.

Almost surely, 2^205032224 is an apocalyptic number.

It is an amenable number.

205032224 is an abundant number, since it is smaller than the sum of its proper divisors (205246204).

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

205032224 is a wasteful number, since it uses less digits than its factorization.

205032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105108 (or 105100 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 205032224 is about 14318.9463299504. The cubic root of 205032224 is about 589.6677474320.

Adding to 205032224 its reverse (422230502), we get a palindrome (627262726).

The spelling of 205032224 in words is "two hundred five million, thirty-two thousand, two hundred twenty-four".