205200315 has 24 divisors (see below), whose sum is σ = 367156608. Its totient is φ = 105909120.

The previous prime is 205200313. The next prime is 205200329. The reversal of 205200315 is 513002502.

It is a happy number.

It is not a de Polignac number, because 205200315 - 2¹ = 205200313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205200313) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 72154 + ... + 74943.

It is an arithmetic number, because the mean of its divisors is an integer number (15298192).

Almost surely, 2^205200315 is an apocalyptic number.

205200315 is a deficient number, since it is larger than the sum of its proper divisors (161956293).

205200315 is a wasteful number, since it uses less digits than its factorization.

205200315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147139 (or 147136 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 205200315 is about 14324.8146584869. The cubic root of 205200315 is about 589.8288453076.

Adding to 205200315 its reverse (513002502), we get a palindrome (718202817).

The spelling of 205200315 in words is "two hundred five million, two hundred thousand, three hundred fifteen".