2226816 has 48 divisors (see below), whose sum is σ = 6411210. Its totient is φ = 741888.

The previous prime is 2226811. The next prime is 2226817. The reversal of 2226816 is 6186222.

It can be written as a sum of positive squares in only one way, i.e., 1742400 + 484416 = 1320^2 + 696^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2226816.

It is not an unprimeable number, because it can be changed into a prime (2226811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 186 + ... + 2118.

2^2226816 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 2226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205605).

2226816 is an abundant number, since it is smaller than the sum of its proper divisors (4184394).

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

2226816 is a wasteful number, since it uses less digits than its factorization.

2226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1938 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2226816 is about 1492.2519894441. The cubic root of 2226816 is about 130.5854463089.

The spelling of 2226816 in words is "two million, two hundred twenty-six thousand, eight hundred sixteen".