220245516 has 72 divisors (see below), whose sum is σ = 583206624. Its totient is φ = 69949440.

The previous prime is 220245503. The next prime is 220245533. The reversal of 220245516 is 615542022.

220245516 is a `hidden beast` number, since 2 + 202 + 455 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 220245516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381420 + ... + 381996.

It is an arithmetic number, because the mean of its divisors is an integer number (8100092).

Almost surely, 2^220245516 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 220245516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291603312).

220245516 is an abundant number, since it is smaller than the sum of its proper divisors (362961108).

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

220245516 is a wasteful number, since it uses less digits than its factorization.

220245516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 220245516 is about 14840.6710090885. The cubic root of 220245516 is about 603.9055558952.

Adding to 220245516 its reverse (615542022), we get a palindrome (835787538).

The spelling of 220245516 in words is "two hundred twenty million, two hundred forty-five thousand, five hundred sixteen".