215200 has 36 divisors (see below), whose sum is σ = 527310. Its totient is φ = 85760.

The previous prime is 215197. The next prime is 215239. The reversal of 215200 is 2512.

It can be written as a sum of positive squares in 3 ways, for example, as 104976 + 110224 = 324^2 + 332^2 .

It is a super-2 number, since 2×215200² = 92622080000, which contains 22 as substring.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 666 + ... + 934.

2²¹⁵²⁰⁰ is an apocalyptic number.

215200 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 215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263655).

215200 is an abundant number, since it is smaller than the sum of its proper divisors (312110).

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

215200 is a wasteful number, since it uses less digits than its factorization.

215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

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

The square root of 215200 is about 463.8965401897. The cubic root of 215200 is about 59.9258342878.

Adding to 215200 its reverse (2512), we get a palindrome (217712).

The spelling of 215200 in words is "two hundred fifteen thousand, two hundred".