205023540 has 48 divisors (see below), whose sum is σ = 575769600. Its totient is φ = 54510720.

The previous prime is 205023517. The next prime is 205023571. The reversal of 205023540 is 45320502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16045 + ... + 25835.

It is an arithmetic number, because the mean of its divisors is an integer number (11995200).

Almost surely, 2^205023540 is an apocalyptic number.

205023540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205023540 is an abundant number, since it is smaller than the sum of its proper divisors (370746060).

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

205023540 is a wasteful number, since it uses less digits than its factorization.

205023540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10152 (or 10150 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 205023540 is about 14318.6430921369. The cubic root of 205023540 is about 589.6594223227.

It can be divided in two parts, 20502 and 3540, that added together give a palindrome (24042).

The spelling of 205023540 in words is "two hundred five million, twenty-three thousand, five hundred forty".