2224872 has 48 divisors (see below), whose sum is σ = 6491940. Its totient is φ = 684288.

The previous prime is 2224867. The next prime is 2224879. The reversal of 2224872 is 2784222.

2224872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2090916 + 133956 = 1446^2 + 366^2 .

It is not an unprimeable number, because it can be changed into a prime (2224879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253 + ... + 2124.

2^2224872 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 2224872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245970).

2224872 is an abundant number, since it is smaller than the sum of its proper divisors (4267068).

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

2224872 is a wasteful number, since it uses less digits than its factorization.

2224872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2395 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 2224872 is about 1491.6004827031. The cubic root of 2224872 is about 130.5474350833.

The spelling of 2224872 in words is "two million, two hundred twenty-four thousand, eight hundred seventy-two".