228413198160 has 1920 divisors, whose sum is σ = 1030331197440. Its totient is φ = 46151368704.

The previous prime is 228413198131. The next prime is 228413198161. The reversal of 228413198160 is 61891314822.

228413198160 is a `hidden beast` number, since 228 + 413 + 1 + 9 + 8 + 1 + 6 + 0 = 666.

228413198160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (228413198161) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3128947884 + ... + 3128947956.

It is an arithmetic number, because the mean of its divisors is an integer number (536630832).

Almost surely, 2^228413198160 is an apocalyptic number.

228413198160 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 228413198160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515165598720).

228413198160 is an abundant number, since it is smaller than the sum of its proper divisors (801917999280).

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

228413198160 is a wasteful number, since it uses less digits than its factorization.

228413198160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 228413198160 in words is "two hundred twenty-eight billion, four hundred thirteen million, one hundred ninety-eight thousand, one hundred sixty".