205253312 has 56 divisors (see below), whose sum is σ = 452792592. Its totient is φ = 91520000.

The previous prime is 205253303. The next prime is 205253327. The reversal of 205253312 is 213352502.

205253312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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, 34562 + ... + 40062.

It is an arithmetic number, because the mean of its divisors is an integer number (8085582).

Almost surely, 2^205253312 is an apocalyptic number.

205253312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226396296).

205253312 is an abundant number, since it is smaller than the sum of its proper divisors (247539280).

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

205253312 is a wasteful number, since it uses less digits than its factorization.

205253312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5577 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 205253312 is about 14326.6643710251. The cubic root of 205253312 is about 589.8796192203.

The spelling of 205253312 in words is "two hundred five million, two hundred fifty-three thousand, three hundred twelve".