228266054128200 has 768 divisors, whose sum is σ = 802983891456000. Its totient is φ = 53134728192000.

The previous prime is 228266054128159. The next prime is 228266054128201. The reversal of 228266054128200 is 2821450662822.

It is a happy number.

It is a super-3 number, since 3×228266054128200³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 228266054128200.

It is not an unprimeable number, because it can be changed into a prime (228266054128201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29419515921 + ... + 29419523679.

It is an arithmetic number, because the mean of its divisors is an integer number (1045551942000).

Almost surely, 2^{228266054128200} is an apocalyptic number.

228266054128200 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 228266054128200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401491945728000).

228266054128200 is an abundant number, since it is smaller than the sum of its proper divisors (574717837327800).

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

228266054128200 is a wasteful number, since it uses less digits than its factorization.

228266054128200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8646 (or 8637 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 228266054128200 in words is "two hundred twenty-eight trillion, two hundred sixty-six billion, fifty-four million, one hundred twenty-eight thousand, two hundred".