205220320 has 24 divisors (see below), whose sum is σ = 484833384. Its totient is φ = 82088064.

The previous prime is 205220303. The next prime is 205220333. The reversal of 205220320 is 23022502.

205220320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 205220294 and 205220303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 641154 + ... + 641473.

It is an arithmetic number, because the mean of its divisors is an integer number (20201391).

Almost surely, 2^205220320 is an apocalyptic number.

205220320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205220320 is an abundant number, since it is smaller than the sum of its proper divisors (279613064).

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

205220320 is a wasteful number, since it uses less digits than its factorization.

205220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282642 (or 1282634 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 205220320 is about 14325.5129053029. The cubic root of 205220320 is about 589.8480121766.

Adding to 205220320 its reverse (23022502), we get a palindrome (228242822).

The spelling of 205220320 in words is "two hundred five million, two hundred twenty thousand, three hundred twenty".