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205324225 = 528212969
BaseRepresentation
bin11000011110011…
…11111111000001
3112022100112212221
430033033333001
5410030333400
632212451041
75042140621
oct1417177701
9468315787
10205324225
11a599a147
1258919a81
13336cc832
141d3aa881
151305bc1a
hexc3cffc1

205324225 has 6 divisors (see below), whose sum is σ = 254602070. Its totient is φ = 164259360.

The previous prime is 205324199. The next prime is 205324237. The reversal of 205324225 is 522423502.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1062961 + 204261264 = 1031^2 + 14292^2 .

It is not a de Polignac number, because 205324225 - 211 = 205322177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 8212969 = 205324225 / (2 + 0 + 5 + 3 + 2 + 4 + 2 + 2 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 205324225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4106460 + ... + 4106509.

Almost surely, 2205324225 is an apocalyptic number.

205324225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205324225 is a deficient number, since it is larger than the sum of its proper divisors (49277845).

205324225 is an equidigital number, since it uses as much as digits as its factorization.

205324225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8212979 (or 8212974 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 205324225 is about 14329.1390180987. The cubic root of 205324225 is about 589.9475439335.

Adding to 205324225 its reverse (522423502), we get a palindrome (727747727).

The spelling of 205324225 in words is "two hundred five million, three hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 8212969 41064845 205324225