206516442 has 64 divisors (see below), whose sum is σ = 481987584. Its totient is φ = 58295040.

The previous prime is 206516441. The next prime is 206516447. The reversal of 206516442 is 244615602.

206516442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (206516441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114673 + ... + 116459.

It is an arithmetic number, because the mean of its divisors is an integer number (7531056).

Almost surely, 2^206516442 is an apocalyptic number.

206516442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 206516442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240993792).

206516442 is an abundant number, since it is smaller than the sum of its proper divisors (275471142).

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

206516442 is a wasteful number, since it uses less digits than its factorization.

206516442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 206516442 is about 14370.6799421600. The cubic root of 206516442 is about 591.0871862693.

The spelling of 206516442 in words is "two hundred six million, five hundred sixteen thousand, four hundred forty-two".