220215600 has 360 divisors, whose sum is σ = 856320192. Its totient is φ = 51955200.

The previous prime is 220215563. The next prime is 220215613. The reversal of 220215600 is 6512022.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2653159 + ... + 2653241.

Almost surely, 2^220215600 is an apocalyptic number.

220215600 is a gapful number since it is divisible by the number (20) 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 220215600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428160096).

220215600 is an abundant number, since it is smaller than the sum of its proper divisors (636104592).

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

220215600 is a wasteful number, since it uses less digits than its factorization.

220215600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 220215600 is about 14839.6630689514. The cubic root of 220215600 is about 603.8782117794.

Adding to 220215600 its reverse (6512022), we get a palindrome (226727622).

The spelling of 220215600 in words is "two hundred twenty million, two hundred fifteen thousand, six hundred".