2202816 has 112 divisors (see below), whose sum is σ = 7315200. Its totient is φ = 568320.

The previous prime is 2202799. The next prime is 2202817. The reversal of 2202816 is 6182022.

2202816 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2202792 and 2202801.

It is not an unprimeable number, because it can be changed into a prime (2202817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14710 + ... + 14858.

2^2202816 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 2202816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657600).

2202816 is an abundant number, since it is smaller than the sum of its proper divisors (5112384).

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

2202816 is a wasteful number, since it uses less digits than its factorization.

2202816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2202816 is about 1484.1886672522. The cubic root of 2202816 is about 130.1146129271.

Adding to 2202816 its reverse (6182022), we get a palindrome (8384838).

The spelling of 2202816 in words is "two million, two hundred two thousand, eight hundred sixteen".