228198643200 has 1800 divisors, whose sum is σ = 992134608696. Its totient is φ = 51580108800.

The previous prime is 228198643163. The next prime is 228198643201. The reversal of 228198643200 is 2346891822.

228198643200 is a `hidden beast` number, since 2 + 28 + 198 + 6 + 432 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228198643201) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2132697547 + ... + 2132697653.

Almost surely, 2^228198643200 is an apocalyptic number.

228198643200 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 228198643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496067304348).

228198643200 is an abundant number, since it is smaller than the sum of its proper divisors (763935965496).

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

228198643200 is a wasteful number, since it uses less digits than its factorization.

228198643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 228198643200 in words is "two hundred twenty-eight billion, one hundred ninety-eight million, six hundred forty-three thousand, two hundred".