216305316 has 60 divisors (see below), whose sum is σ = 584989020. Its totient is φ = 69612480.

The previous prime is 216305281. The next prime is 216305347. The reversal of 216305316 is 613503612.

216305316 is a `hidden beast` number, since 21 + 630 + 5 + 3 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66487716 + 149817600 = 8154^2 + 12240^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 216305316.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2115 + ... + 20906.

It is an arithmetic number, because the mean of its divisors is an integer number (9749817).

Almost surely, 2^216305316 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 216305316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292494510).

216305316 is an abundant number, since it is smaller than the sum of its proper divisors (368683704).

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

216305316 is a wasteful number, since it uses less digits than its factorization.

216305316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23066 (or 23055 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 216305316 is about 14707.3218500174. The cubic root of 216305316 is about 600.2825669057.

Adding to 216305316 its reverse (613503612), we get a palindrome (829808928).

The spelling of 216305316 in words is "two hundred sixteen million, three hundred five thousand, three hundred sixteen".