205434224221 has 8 divisors (see below), whose sum is σ = 206211159000. Its totient is φ = 204657805632.

The previous prime is 205434224179. The next prime is 205434224249. The reversal of 205434224221 is 122422434502.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49992488100 + 155441736121 = 223590^2 + 394261^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205434224221 - 2³⁵ = 171074485853 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205434224921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 677931 + ... + 932983.

It is an arithmetic number, because the mean of its divisors is an integer number (25776394875).

Almost surely, 2^205434224221 is an apocalyptic number.

It is an amenable number.

205434224221 is a deficient number, since it is larger than the sum of its proper divisors (776934779).

205434224221 is a wasteful number, since it uses less digits than its factorization.

205434224221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258095.

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 205434224221 its reverse (122422434502), we get a palindrome (327856658723).

The spelling of 205434224221 in words is "two hundred five billion, four hundred thirty-four million, two hundred twenty-four thousand, two hundred twenty-one".