220800216 has 256 divisors, whose sum is σ = 759628800. Its totient is φ = 51757056.

The previous prime is 220800191. The next prime is 220800257. The reversal of 220800216 is 612008022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 220800192 and 220800201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 705276 + ... + 705588.

It is an arithmetic number, because the mean of its divisors is an integer number (2967300).

Almost surely, 2^220800216 is an apocalyptic number.

220800216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220800216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379814400).

220800216 is an abundant number, since it is smaller than the sum of its proper divisors (538828584).

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

220800216 is a wasteful number, since it uses less digits than its factorization.

220800216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 220800216 is about 14859.3477649593. The cubic root of 220800216 is about 604.4121202417.

Adding to 220800216 its reverse (612008022), we get a palindrome (832808238).

The spelling of 220800216 in words is "two hundred twenty million, eight hundred thousand, two hundred sixteen".