205224225 has 48 divisors (see below), whose sum is σ = 361881600. Its totient is φ = 102323520.

The previous prime is 205224203. The next prime is 205224233. The reversal of 205224225 is 522422502.

It is a happy number.

205224225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205224225 - 2⁸ = 205223969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205224195 and 205224204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111664 + ... + 113486.

It is an arithmetic number, because the mean of its divisors is an integer number (7539200).

Almost surely, 2^205224225 is an apocalyptic number.

205224225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205224225 is a deficient number, since it is larger than the sum of its proper divisors (156657375).

205224225 is a wasteful number, since it uses less digits than its factorization.

205224225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 205224225 is about 14325.6491999490. The cubic root of 205224225 is about 589.8517534271.

Adding to 205224225 its reverse (522422502), we get a palindrome (727646727).

The spelling of 205224225 in words is "two hundred five million, two hundred twenty-four thousand, two hundred twenty-five".