5188224 has 64 divisors (see below), whose sum is σ = 14076000. Its totient is φ = 1692672.

The previous prime is 5188219. The next prime is 5188229. The reversal of 5188224 is 4228815.

5188224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5188219) and next prime (5188229).

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

It is a junction number, because it is equal to n+sod(n) for n = 5188191 and 5188200.

It is not an unprimeable number, because it can be changed into a prime (5188229) 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, 22542 + ... + 22770.

Almost surely, 2^5188224 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 5188224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7038000).

5188224 is an abundant number, since it is smaller than the sum of its proper divisors (8887776).

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

5188224 is a wasteful number, since it uses less digits than its factorization.

5188224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 293 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 5188224 is about 2277.7673278893. The cubic root of 5188224 is about 173.1169423281.

The spelling of 5188224 in words is "five million, one hundred eighty-eight thousand, two hundred twenty-four".