2212224 has 64 divisors (see below), whose sum is σ = 6723840. Its totient is φ = 631296.

The previous prime is 2212219. The next prime is 2212229. The reversal of 2212224 is 4222122.

It is an interprime number because it is at equal distance from previous prime (2212219) and next prime (2212229).

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2277 + ... + 3099.

It is an arithmetic number, because the mean of its divisors is an integer number (105060).

2^2212224 is an apocalyptic number.

2212224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361920).

2212224 is an abundant number, since it is smaller than the sum of its proper divisors (4511616).

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

2212224 is an equidigital number, since it uses as much as digits as its factorization.

2212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 835 counting only the distinct ones).

The product of its digits is 128, while the sum is 15.

The square root of 2212224 is about 1487.3546987857. The cubic root of 2212224 is about 130.2995852092.

Adding to 2212224 its reverse (4222122), we get a palindrome (6434346).

It can be divided in two parts, 22 and 12224, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 2212224 in words is "two million, two hundred twelve thousand, two hundred twenty-four".