205157240 has 64 divisors (see below), whose sum is σ = 484833600. Its totient is φ = 77980672.

The previous prime is 205157221. The next prime is 205157261. The reversal of 205157240 is 42751502.

205157240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 158516 + ... + 159804.

It is an arithmetic number, because the mean of its divisors is an integer number (7575525).

Almost surely, 2^205157240 is an apocalyptic number.

205157240 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 205157240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242416800).

205157240 is an abundant number, since it is smaller than the sum of its proper divisors (279676360).

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

205157240 is a wasteful number, since it uses less digits than its factorization.

205157240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 205157240 is about 14323.3110697213. The cubic root of 205157240 is about 589.7875707519.

The spelling of 205157240 in words is "two hundred five million, one hundred fifty-seven thousand, two hundred forty".