205345140 has 288 divisors, whose sum is σ = 779175936. Its totient is φ = 39237120.

The previous prime is 205345121. The next prime is 205345163. The reversal of 205345140 is 41543502.

205345140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 205345140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 780649 + ... + 780911.

It is an arithmetic number, because the mean of its divisors is an integer number (2705472).

Almost surely, 2^205345140 is an apocalyptic number.

205345140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205345140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389587968).

205345140 is an abundant number, since it is smaller than the sum of its proper divisors (573830796).

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

205345140 is a wasteful number, since it uses less digits than its factorization.

205345140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 205345140 is about 14329.8688060987. The cubic root of 205345140 is about 589.9675745849.

Adding to 205345140 its reverse (41543502), we get a palindrome (246888642).

The spelling of 205345140 in words is "two hundred five million, three hundred forty-five thousand, one hundred forty".