205200296 has 64 divisors (see below), whose sum is σ = 461203200. Its totient is φ = 83685888.

The previous prime is 205200283. The next prime is 205200313. The reversal of 205200296 is 692002502.

205200296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205200296² = 84214322956975232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402890 + ... + 403398.

It is an arithmetic number, because the mean of its divisors is an integer number (7206300).

Almost surely, 2^205200296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205200296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230601600).

205200296 is an abundant number, since it is smaller than the sum of its proper divisors (256002904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205200296 is a wasteful number, since it uses less digits than its factorization.

205200296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 205200296 is about 14324.8139953020. The cubic root of 205200296 is about 589.8288271031.

Adding to 205200296 its reverse (692002502), we get a palindrome (897202798).

The spelling of 205200296 in words is "two hundred five million, two hundred thousand, two hundred ninety-six".