205088208 has 40 divisors (see below), whose sum is σ = 570567648. Its totient is φ = 63103872.

The previous prime is 205088207. The next prime is 205088209. The reversal of 205088208 is 802880502.

205088208 is digitally balanced in base 3, 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 (205088207) and next prime (205088209).

It is a super-2 number, since 2×205088208² = 84122346121302528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205088201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163710 + ... + 164957.

Almost surely, 2^205088208 is an apocalyptic number.

It is an amenable number.

205088208 is an abundant number, since it is smaller than the sum of its proper divisors (365479440).

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

205088208 is a wasteful number, since it uses less digits than its factorization.

205088208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328691 (or 328685 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 205088208 is about 14320.9010889678. The cubic root of 205088208 is about 589.7214120940.

The spelling of 205088208 in words is "two hundred five million, eighty-eight thousand, two hundred eight".