2201216 has 32 divisors (see below), whose sum is σ = 4544100. Its totient is φ = 1060864.

The previous prime is 2201209. The next prime is 2201273. The reversal of 2201216 is 6121022.

It can be written as a sum of positive squares in 2 ways, for example, as 2190400 + 10816 = 1480^2 + 104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2201216.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 3416 + ... + 4008.

2^2201216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272050).

2201216 is an abundant number, since it is smaller than the sum of its proper divisors (2342884).

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

2201216 is an equidigital number, since it uses as much as digits as its factorization.

2201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2201216 is about 1483.6495543086. The cubic root of 2201216 is about 130.0831026837.

Adding to 2201216 its reverse (6121022), we get a palindrome (8322238).

The spelling of 2201216 in words is "two million, two hundred one thousand, two hundred sixteen".