205188312 has 128 divisors (see below), whose sum is σ = 604569600. Its totient is φ = 56827008.

The previous prime is 205188307. The next prime is 205188331. The reversal of 205188312 is 213881502.

205188312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 205188312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1258743 + ... + 1258905.

It is an arithmetic number, because the mean of its divisors is an integer number (4723200).

Almost surely, 2^205188312 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 205188312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302284800).

205188312 is an abundant number, since it is smaller than the sum of its proper divisors (399381288).

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

205188312 is a wasteful number, since it uses less digits than its factorization.

205188312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 205188312 is about 14324.3956940598. The cubic root of 205188312 is about 589.8173445883.

The spelling of 205188312 in words is "two hundred five million, one hundred eighty-eight thousand, three hundred twelve".