205442320 has 20 divisors (see below), whose sum is σ = 477653580. Its totient is φ = 82176896.

The previous prime is 205442309. The next prime is 205442357. The reversal of 205442320 is 23244502.

It can be written as a sum of positive squares in 2 ways, for example, as 46076944 + 159365376 = 6788^2 + 12624^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 205442291 and 205442300.

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, 1283935 + ... + 1284094.

It is an arithmetic number, because the mean of its divisors is an integer number (23882679).

Almost surely, 2^205442320 is an apocalyptic number.

205442320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205442320 is an abundant number, since it is smaller than the sum of its proper divisors (272211260).

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

205442320 is a wasteful number, since it uses less digits than its factorization.

205442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568042 (or 2568036 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 205442320 is about 14333.2592246146. The cubic root of 205442320 is about 590.0606276872.

Adding to 205442320 its reverse (23244502), we get a palindrome (228686822).

The spelling of 205442320 in words is "two hundred five million, four hundred forty-two thousand, three hundred twenty".