228298759200 has 270 divisors, whose sum is σ = 833004979191. Its totient is φ = 60847234560.

The previous prime is 228298759187. The next prime is 228298759219. The reversal of 228298759200 is 2957892822.

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.

228298759200 is a `hidden beast` number, since 2 + 28 + 29 + 8 + 7 + 592 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 110817083664 + 117481675536 = 332892^2 + 342756^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=337860.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 121628662 + ... + 121630538.

Almost surely, 2^228298759200 is an apocalyptic number.

228298759200 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 228298759200

228298759200 is an abundant number, since it is smaller than the sum of its proper divisors (604706219991).

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

228298759200 is an frugal number, since it uses more digits than its factorization.

228298759200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 228298759200 in words is "two hundred twenty-eight billion, two hundred ninety-eight million, seven hundred fifty-nine thousand, two hundred".