216200 has 48 divisors (see below), whose sum is σ = 535680. Its totient is φ = 80960.

The previous prime is 216179. The next prime is 216211. The reversal of 216200 is 2612.

It is an unprimeable number.

216200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4577 + ... + 4623.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2²¹⁶²⁰⁰ is an apocalyptic number.

216200 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 216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840).

216200 is an abundant number, since it is smaller than the sum of its proper divisors (319480).

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

216200 is a wasteful number, since it uses less digits than its factorization.

216200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 216200 is about 464.9731175025. The cubic root of 216200 is about 60.0185128059.

Adding to 216200 its reverse (2612), we get a palindrome (218812).

It can be divided in two parts, 2 and 16200, that multiplied together give a square (32400 = 180²).

The spelling of 216200 in words is "two hundred sixteen thousand, two hundred".