205213210 has 32 divisors (see below), whose sum is σ = 379209600. Its totient is φ = 79928640.

The previous prime is 205213201. The next prime is 205213219. The reversal of 205213210 is 12312502.

205213210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205213201) and next prime (205213219).

It is a super-2 number, since 2×205213210² = 84224923117008200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205213219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62715 + ... + 65905.

It is an arithmetic number, because the mean of its divisors is an integer number (11850300).

Almost surely, 2^205213210 is an apocalyptic number.

205213210 is a deficient number, since it is larger than the sum of its proper divisors (173996390).

205213210 is a wasteful number, since it uses less digits than its factorization.

205213210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 205213210 is about 14325.2647444995. The cubic root of 205213210 is about 589.8412002004.

Adding to 205213210 its reverse (12312502), we get a palindrome (217525712).

The spelling of 205213210 in words is "two hundred five million, two hundred thirteen thousand, two hundred ten".