215015200 has 72 divisors (see below), whose sum is σ = 527005332. Its totient is φ = 85662720.

The previous prime is 215015183. The next prime is 215015219. The reversal of 215015200 is 2510512.

It can be written as a sum of positive squares in 6 ways, for example, as 168065296 + 46949904 = 12964^2 + 6852^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 317262 + ... + 317938.

Almost surely, 2^215015200 is an apocalyptic number.

215015200 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 215015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263502666).

215015200 is an abundant number, since it is smaller than the sum of its proper divisors (311990132).

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

215015200 is a wasteful number, since it uses less digits than its factorization.

215015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 215015200 is about 14663.3966051526. The cubic root of 215015200 is about 599.0867588377.

Adding to 215015200 its reverse (2510512), we get a palindrome (217525712).

It can be divided in two parts, 2 and 15015200, that multiplied together give a square (30030400 = 5480²).

The spelling of 215015200 in words is "two hundred fifteen million, fifteen thousand, two hundred".