205203312 has 60 divisors (see below), whose sum is σ = 582883080. Its totient is φ = 67377024.

The previous prime is 205203301. The next prime is 205203343. The reversal of 205203312 is 213302502.

205203312 is digitally balanced in base 2, because in such base 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 987 + ... + 20282.

It is an arithmetic number, because the mean of its divisors is an integer number (9714718).

Almost surely, 2^205203312 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 205203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291441540).

205203312 is an abundant number, since it is smaller than the sum of its proper divisors (377679768).

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

205203312 is a wasteful number, since it uses less digits than its factorization.

205203312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21350 (or 21341 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 205203312 is about 14324.9192667882. The cubic root of 205203312 is about 589.8317168244.

Adding to 205203312 its reverse (213302502), we get a palindrome (418505814).

It can be divided in two parts, 20520 and 3312, that added together give a palindrome (23832).

The spelling of 205203312 in words is "two hundred five million, two hundred three thousand, three hundred twelve".