205016892 has 48 divisors (see below), whose sum is σ = 506973600. Its totient is φ = 64368640.

The previous prime is 205016891. The next prime is 205016893. The reversal of 205016892 is 298610502.

205016892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205016891) and next prime (205016893).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205016891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7084 + ... + 21452.

It is an arithmetic number, because the mean of its divisors is an integer number (10561950).

Almost surely, 2^205016892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205016892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253486800).

205016892 is an abundant number, since it is smaller than the sum of its proper divisors (301956708).

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

205016892 is a wasteful number, since it uses less digits than its factorization.

205016892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14446 (or 14444 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 205016892 is about 14318.4109453528. The cubic root of 205016892 is about 589.6530489111.

The spelling of 205016892 in words is "two hundred five million, sixteen thousand, eight hundred ninety-two".