205340208 has 40 divisors (see below), whose sum is σ = 533448000. Its totient is φ = 68061504.

The previous prime is 205340189. The next prime is 205340221. The reversal of 205340208 is 802043502.

205340208 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3358 + ... + 20541.

It is an arithmetic number, because the mean of its divisors is an integer number (13336200).

Almost surely, 2^205340208 is an apocalyptic number.

It is an amenable number.

205340208 is an abundant number, since it is smaller than the sum of its proper divisors (328107792).

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

205340208 is a wasteful number, since it uses less digits than its factorization.

205340208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24089 (or 24083 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 205340208 is about 14329.6967169581. The cubic root of 205340208 is about 589.9628512471.

The spelling of 205340208 in words is "two hundred five million, three hundred forty thousand, two hundred eight".