220506216 has 64 divisors (see below), whose sum is σ = 640375680. Its totient is φ = 61966080.

The previous prime is 220506203. The next prime is 220506239. The reversal of 220506216 is 612605022.

It is a super-3 number, since 3×220506216³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 511 + ... + 21006.

It is an arithmetic number, because the mean of its divisors is an integer number (10005870).

Almost surely, 2^220506216 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 220506216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320187840).

220506216 is an abundant number, since it is smaller than the sum of its proper divisors (419869464).

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

220506216 is a wasteful number, since it uses less digits than its factorization.

220506216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21594 (or 21590 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 220506216 is about 14849.4517070497. The cubic root of 220506216 is about 604.1437387246.

The spelling of 220506216 in words is "two hundred twenty million, five hundred six thousand, two hundred sixteen".