228974979200 has 216 divisors, whose sum is σ = 622545808815. Its totient is φ = 83155353600.

The previous prime is 228974979161. The next prime is 228974979257. The reversal of 228974979200 is 2979479822.

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.

228974979200 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 5 ways, for example, as 59290302016 + 169684677184 = 243496^2 + 411928^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=338360.

It is a self number, because there is not a number n which added to its sum of digits gives 228974979200.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 297756416 + ... + 297757184.

Almost surely, 2^228974979200 is an apocalyptic number.

228974979200 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 228974979200

228974979200 is an abundant number, since it is smaller than the sum of its proper divisors (393570829615).

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

228974979200 is an frugal number, since it uses more digits than its factorization.

228974979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 59.

The spelling of 228974979200 in words is "two hundred twenty-eight billion, nine hundred seventy-four million, nine hundred seventy-nine thousand, two hundred".