224947208920 has 256 divisors, whose sum is σ = 627902668800. Its totient is φ = 70764503040.

The previous prime is 224947208911. The next prime is 224947208921. The reversal of 224947208920 is 29802749422.

224947208920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224947208921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202837326 + ... + 202838434.

It is an arithmetic number, because the mean of its divisors is an integer number (2452744800).

Almost surely, 2^224947208920 is an apocalyptic number.

224947208920 is a gapful number since it is divisible by the number (20) 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 224947208920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313951334400).

224947208920 is an abundant number, since it is smaller than the sum of its proper divisors (402955459880).

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

224947208920 is a wasteful number, since it uses less digits than its factorization.

224947208920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 224947208920 in words is "two hundred twenty-four billion, nine hundred forty-seven million, two hundred eight thousand, nine hundred twenty".