205221312 has 42 divisors (see below), whose sum is σ = 588231488. Its totient is φ = 68406912.

The previous prime is 205221281. The next prime is 205221319. The reversal of 205221312 is 213122502.

205221312 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205221319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 177568 + ... + 178719.

Almost surely, 2^205221312 is an apocalyptic number.

It is an amenable number.

205221312 is an abundant number, since it is smaller than the sum of its proper divisors (383010176).

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

205221312 is a wasteful number, since it uses less digits than its factorization.

205221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356305 (or 356292 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 205221312 is about 14325.5475288032. The cubic root of 205221312 is about 589.8489625832.

Adding to 205221312 its reverse (213122502), we get a palindrome (418343814).

The spelling of 205221312 in words is "two hundred five million, two hundred twenty-one thousand, three hundred twelve".