2213224 has 24 divisors (see below), whose sum is σ = 4496310. Its totient is φ = 1020864.

The previous prime is 2213209. The next prime is 2213243. The reversal of 2213224 is 4223122.

It can be written as a sum of positive squares in 3 ways, for example, as 476100 + 1737124 = 690^2 + 1318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2213198 and 2213207.

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, 534 + ... + 2170.

2^2213224 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 2213224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248155).

2213224 is an abundant number, since it is smaller than the sum of its proper divisors (2283086).

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

2213224 is a wasteful number, since it uses less digits than its factorization.

2213224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1652 counting only the distinct ones).

The product of its digits is 192, while the sum is 16.

The square root of 2213224 is about 1487.6908280957. The cubic root of 2213224 is about 130.3192155234.

Adding to 2213224 its reverse (4223122), we get a palindrome (6436346).

The spelling of 2213224 in words is "two million, two hundred thirteen thousand, two hundred twenty-four".