228767112 has 128 divisors (see below), whose sum is σ = 736819200. Its totient is φ = 64411200.

The previous prime is 228767111. The next prime is 228767117. The reversal of 228767112 is 211767822.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228767111) 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 31 ways as a sum of consecutive naturals, for example, 106287 + ... + 108417.

It is an arithmetic number, because the mean of its divisors is an integer number (5756400).

Almost surely, 2^228767112 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 228767112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368409600).

228767112 is an abundant number, since it is smaller than the sum of its proper divisors (508052088).

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

228767112 is a wasteful number, since it uses less digits than its factorization.

228767112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2214 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 228767112 is about 15125.0491569449. The cubic root of 228767112 is about 611.5958500460.

The spelling of 228767112 in words is "two hundred twenty-eight million, seven hundred sixty-seven thousand, one hundred twelve".