228398112 has 72 divisors (see below), whose sum is σ = 664647984. Its totient is φ = 74358144.

The previous prime is 228398099. The next prime is 228398123. The reversal of 228398112 is 211893822.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3163 + ... + 21605.

It is an arithmetic number, because the mean of its divisors is an integer number (9231222).

Almost surely, 2^228398112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228398112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332323992).

228398112 is an abundant number, since it is smaller than the sum of its proper divisors (436249872).

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

228398112 is a wasteful number, since it uses less digits than its factorization.

228398112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18502 (or 18491 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 228398112 is about 15112.8459265619. The cubic root of 228398112 is about 611.2668395878.

The spelling of 228398112 in words is "two hundred twenty-eight million, three hundred ninety-eight thousand, one hundred twelve".