224307982472 has 108 divisors (see below), whose sum is σ = 516758512455. Its totient is φ = 91000076832.

The previous prime is 224307982463. The next prime is 224307982511. The reversal of 224307982472 is 274289703422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

224307982472 is digitally balanced in base 3, 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 only one way, i.e., 112153991236 + 112153991236 = 334894^2 + 334894^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334894.

It is a self number, because there is not a number n which added to its sum of digits gives 224307982472.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 178162979 + ... + 178164237.

Almost surely, 2^224307982472 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 224307982472

224307982472 is an abundant number, since it is smaller than the sum of its proper divisors (292450529983).

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

224307982472 is an equidigital number, since it uses as much as digits as its factorization.

224307982472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 50.

Multiplying 224307982472 by its sum of digits (50), we get a square (11215399123600 = 3348940²).

The spelling of 224307982472 in words is "two hundred twenty-four billion, three hundred seven million, nine hundred eighty-two thousand, four hundred seventy-two".