205243312 has 80 divisors (see below), whose sum is σ = 440757504. Its totient is φ = 92160000.

The previous prime is 205243309. The next prime is 205243331. The reversal of 205243312 is 213342502.

205243312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 851512 + ... + 851752.

Almost surely, 2^205243312 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 205243312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220378752).

205243312 is an abundant number, since it is smaller than the sum of its proper divisors (235514192).

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

205243312 is a wasteful number, since it uses less digits than its factorization.

205243312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 205243312 is about 14326.3153671836. The cubic root of 205243312 is about 589.8700393635.

Adding to 205243312 its reverse (213342502), we get a palindrome (418585814).

The spelling of 205243312 in words is "two hundred five million, two hundred forty-three thousand, three hundred twelve".