205223201 has 16 divisors (see below), whose sum is σ = 223955280. Its totient is φ = 187269120.

The previous prime is 205223189. The next prime is 205223203. The reversal of 205223201 is 102322502.

205223201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 101203600 + 104019601 = 10060^2 + 10199^2 .

It is a cyclic number.

It is not a de Polignac number, because 205223201 - 2¹⁴ = 205206817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 205223201.

It is not an unprimeable number, because it can be changed into a prime (205223203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319841 + ... + 320481.

It is an arithmetic number, because the mean of its divisors is an integer number (13997205).

Almost surely, 2^205223201 is an apocalyptic number.

It is an amenable number.

205223201 is a deficient number, since it is larger than the sum of its proper divisors (18732079).

205223201 is a wasteful number, since it uses less digits than its factorization.

205223201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 205223201 is about 14325.6134598139. The cubic root of 205223201 is about 589.8507723713.

Adding to 205223201 its reverse (102322502), we get a palindrome (307545703).

The spelling of 205223201 in words is "two hundred five million, two hundred twenty-three thousand, two hundred one".