205492225 has 27 divisors (see below), whose sum is σ = 264685161. Its totient is φ = 158258400.

The previous prime is 205492213. The next prime is 205492241. The reversal of 205492225 is 522294502.

The square root of 205492225 is 14335.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 94653441 + 110838784 = 9729^2 + 10528^2 .

It is not a de Polignac number, because 205492225 - 2¹¹ = 205490177 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3368695 + ... + 3368755.

Almost surely, 2^205492225 is an apocalyptic number.

205492225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

205492225 is the 14335-th square number.

205492225 is the 7168-th centered octagonal number.

It is an amenable number.

205492225 is a deficient number, since it is larger than the sum of its proper divisors (59192936).

205492225 is an frugal number, since it uses more digits than its factorization.

205492225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The cubic root of 205492225 is about 590.1084019913.

Multiplying 205492225 by its product of nonzero digits (14400), we get a square (2959088040000 = 1720200²).

The spelling of 205492225 in words is "two hundred five million, four hundred ninety-two thousand, two hundred twenty-five".