220216512 has 56 divisors (see below), whose sum is σ = 585216000. Its totient is φ = 73083136.

The previous prime is 220216501. The next prime is 220216523. The reversal of 220216512 is 215612022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220216501) and next prime (220216523).

It is a super-2 number, since 2×220216512² = 96990624314892288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43489 + ... + 48287.

Almost surely, 2^220216512 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 220216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292608000).

220216512 is an abundant number, since it is smaller than the sum of its proper divisors (364999488).

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

220216512 is a wasteful number, since it uses less digits than its factorization.

220216512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5043 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 220216512 is about 14839.6937973801. The cubic root of 220216512 is about 603.8790454112.

Adding to 220216512 its reverse (215612022), we get a palindrome (435828534).

The spelling of 220216512 in words is "two hundred twenty million, two hundred sixteen thousand, five hundred twelve".