2205224 has 32 divisors (see below), whose sum is σ = 4821120. Its totient is φ = 926016.

The previous prime is 2205199. The next prime is 2205233. The reversal of 2205224 is 4225022.

2205224 = 2³ + 3³ + ... + 54³.

It is a Cunningham number, because it is equal to 1485²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2597 + ... + 3339.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

2^2205224 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 2205224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560).

2205224 is an abundant number, since it is smaller than the sum of its proper divisors (2615896).

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

2205224 is a wasteful number, since it uses less digits than its factorization.

2205224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 2205224 is about 1484.9996632996. Note that the first 3 decimals coincide. The cubic root of 2205224 is about 130.1620070945.

The spelling of 2205224 in words is "two million, two hundred five thousand, two hundred twenty-four".