220315172 has 72 divisors (see below), whose sum is σ = 518138208. Its totient is φ = 80774400.

The previous prime is 220315153. The next prime is 220315213. The reversal of 220315172 is 271513022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33647 + ... + 39657.

It is an arithmetic number, because the mean of its divisors is an integer number (7196364).

Almost surely, 2^220315172 is an apocalyptic number.

220315172 is a gapful number since it is divisible by the number (22) 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 220315172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259069104).

220315172 is an abundant number, since it is smaller than the sum of its proper divisors (297823036).

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

220315172 is a wasteful number, since it uses less digits than its factorization.

220315172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6057 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 220315172 is about 14843.0176177218. The cubic root of 220315172 is about 603.9692139623.

Adding to 220315172 its reverse (271513022), we get a palindrome (491828194).

The spelling of 220315172 in words is "two hundred twenty million, three hundred fifteen thousand, one hundred seventy-two".