205332580 has 12 divisors (see below), whose sum is σ = 431198460. Its totient is φ = 82133024.

The previous prime is 205332577. The next prime is 205332581. The reversal of 205332580 is 85233502.

205332580 is digitally balanced in base 3, 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 2 ways, for example, as 38044224 + 167288356 = 6168^2 + 12934^2 .

It is a super-2 number, since 2×205332580² = 84322936818912800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205332581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5133295 + ... + 5133334.

It is an arithmetic number, because the mean of its divisors is an integer number (35933205).

Almost surely, 2^205332580 is an apocalyptic number.

205332580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205332580 is an abundant number, since it is smaller than the sum of its proper divisors (225865880).

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

205332580 is a wasteful number, since it uses less digits than its factorization.

205332580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10266638 (or 10266636 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 205332580 is about 14329.4305539334. The cubic root of 205332580 is about 589.9555458223.

The spelling of 205332580 in words is "two hundred five million, three hundred thirty-two thousand, five hundred eighty".