205014016 has 44 divisors (see below), whose sum is σ = 433972188. Its totient is φ = 96468992.

The previous prime is 205014011. The next prime is 205014031. The reversal of 205014016 is 610410502.

205014016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 151782400 + 53231616 = 12320^2 + 7296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205013984 and 205014002.

It is not an unprimeable number, because it can be changed into a prime (205014011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11520 + ... + 23296.

Almost surely, 2^205014016 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 205014016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216986094).

205014016 is an abundant number, since it is smaller than the sum of its proper divisors (228958172).

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

205014016 is a wasteful number, since it uses less digits than its factorization.

205014016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11814 (or 11796 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 205014016 is about 14318.3105148617. The cubic root of 205014016 is about 589.6502916585.

Adding to 205014016 its reverse (610410502), we get a palindrome (815424518).

The spelling of 205014016 in words is "two hundred five million, fourteen thousand, sixteen".