228251164800 has 768 divisors, whose sum is σ = 839746252800. Its totient is φ = 54245376000.

The previous prime is 228251164793. The next prime is 228251164807. The reversal of 228251164800 is 8461152822.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (228251164793) and next prime (228251164807).

It is not an unprimeable number, because it can be changed into a prime (228251164807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209212255 + ... + 209213345.

It is an arithmetic number, because the mean of its divisors is an integer number (1093419600).

Almost surely, 2^228251164800 is an apocalyptic number.

228251164800 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 228251164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419873126400).

228251164800 is an abundant number, since it is smaller than the sum of its proper divisors (611495088000).

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

228251164800 is a wasteful number, since it uses less digits than its factorization.

228251164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 228251164800 in words is "two hundred twenty-eight billion, two hundred fifty-one million, one hundred sixty-four thousand, eight hundred".