228365712 has 180 divisors, whose sum is σ = 707526144. Its totient is φ = 68618880.

The previous prime is 228365701. The next prime is 228365717. The reversal of 228365712 is 217563822.

228365712 is a `hidden beast` number, since 2 + 2 + 83 + 6 + 571 + 2 = 666.

228365712 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 (36).

It is not an unprimeable number, because it can be changed into a prime (228365717) 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 35 ways as a sum of consecutive naturals, for example, 1195537 + ... + 1195727.

Almost surely, 2^228365712 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 228365712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353763072).

228365712 is an abundant number, since it is smaller than the sum of its proper divisors (479160432).

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

228365712 is a wasteful number, since it uses less digits than its factorization.

228365712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 228365712 is about 15111.7739527826. The cubic root of 228365712 is about 611.2379339458.

It can be divided in two parts, 228 and 365712, that added together give a triangular number (365940 = T₈₅₅).

The spelling of 228365712 in words is "two hundred twenty-eight million, three hundred sixty-five thousand, seven hundred twelve".