205213472 has 24 divisors (see below), whose sum is σ = 405602316. Its totient is φ = 102203392.

The previous prime is 205213453. The next prime is 205213493. The reversal of 205213472 is 274312502.

It can be written as a sum of positive squares in 2 ways, for example, as 166823056 + 38390416 = 12916^2 + 6196^2 .

It is a super-2 number, since 2×205213472² = 84225138180589568, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 4253 + ... + 20700.

Almost surely, 2^205213472 is an apocalyptic number.

It is an amenable number.

205213472 is a deficient number, since it is larger than the sum of its proper divisors (200388844).

205213472 is a wasteful number, since it uses less digits than its factorization.

205213472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25220 (or 25212 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 205213472 is about 14325.2738891792. The cubic root of 205213472 is about 589.8414512211.

Adding to 205213472 its reverse (274312502), we get a palindrome (479525974).

The spelling of 205213472 in words is "two hundred five million, two hundred thirteen thousand, four hundred seventy-two".