215315200 has 108 divisors (see below), whose sum is σ = 564573240. Its totient is φ = 81018880.

The previous prime is 215315159. The next prime is 215315209. The reversal of 215315200 is 2513512.

It is not an unprimeable number, because it can be changed into a prime (215315209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107811 + ... + 109789.

It is an arithmetic number, because the mean of its divisors is an integer number (5227530).

Almost surely, 2^215315200 is an apocalyptic number.

215315200 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 215315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282286620).

215315200 is an abundant number, since it is smaller than the sum of its proper divisors (349258040).

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

215315200 is a wasteful number, since it uses less digits than its factorization.

215315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 215315200 is about 14673.6225929387. The cubic root of 215315200 is about 599.3652546600.

Adding to 215315200 its reverse (2513512), we get a palindrome (217828712).

The spelling of 215315200 in words is "two hundred fifteen million, three hundred fifteen thousand, two hundred".