228214324800 has 2016 divisors, whose sum is σ = 1077594065280. Its totient is φ = 47421158400.

The previous prime is 228214324747. The next prime is 228214324813. The reversal of 228214324800 is 8423412822.

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.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20746756795 + ... + 20746756805.

Almost surely, 2^228214324800 is an apocalyptic number.

228214324800 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 228214324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538797032640).

228214324800 is an abundant number, since it is smaller than the sum of its proper divisors (849379740480).

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

228214324800 is an frugal number, since it uses more digits than its factorization.

228214324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 228214324800 in words is "two hundred twenty-eight billion, two hundred fourteen million, three hundred twenty-four thousand, eight hundred".