205222304 has 96 divisors (see below), whose sum is σ = 478711296. Its totient is φ = 84787200.

The previous prime is 205222289. The next prime is 205222321. The reversal of 205222304 is 403222502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063232 + ... + 1063424.

It is an arithmetic number, because the mean of its divisors is an integer number (4986576).

Almost surely, 2^205222304 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 205222304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239355648).

205222304 is an abundant number, since it is smaller than the sum of its proper divisors (273488992).

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

205222304 is a wasteful number, since it uses less digits than its factorization.

205222304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 205222304 is about 14325.5821522199. The cubic root of 205222304 is about 589.8499129868.

Adding to 205222304 its reverse (403222502), we get a palindrome (608444806).

The spelling of 205222304 in words is "two hundred five million, two hundred twenty-two thousand, three hundred four".