215200000 has 108 divisors (see below), whose sum is σ = 538910820. Its totient is φ = 85760000.

The previous prime is 215199979. The next prime is 215200019. The reversal of 215200000 is 2512.

It can be written as a sum of positive squares in 6 ways, for example, as 209207296 + 5992704 = 14464^2 + 2448^2 .

It is a super-2 number, since 2×215200000² = 92622080000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 215200000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 799866 + ... + 800134.

It is an arithmetic number, because the mean of its divisors is an integer number (4989915).

Almost surely, 2^215200000 is an apocalyptic number.

215200000 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 215200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269455410).

215200000 is an abundant number, since it is smaller than the sum of its proper divisors (323710820).

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

215200000 is an frugal number, since it uses more digits than its factorization.

215200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 215200000 is about 14669.6966567138. The cubic root of 215200000 is about 599.2583428782.

Adding to 215200000 its reverse (2512), we get a palindrome (215202512).

The spelling of 215200000 in words is "two hundred fifteen million, two hundred thousand".