228284 has 24 divisors (see below), whose sum is σ = 473088. Its totient is φ = 94320.

The previous prime is 228281. The next prime is 228299. The reversal of 228284 is 482822.

It is a super-2 number, since 2×228284² = 104227169312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228281) 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 7 ways as a sum of consecutive naturals, for example, 737 + ... + 999.

It is an arithmetic number, because the mean of its divisors is an integer number (19712).

2²²⁸²⁸⁴ 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 228284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236544).

228284 is an abundant number, since it is smaller than the sum of its proper divisors (244804).

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

228284 is a wasteful number, since it uses less digits than its factorization.

228284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 228284 is about 477.7907491779. The cubic root of 228284 is about 61.1165022486.

It can be divided in two parts, 228 and 284, that added together give a 9-th power (512 = 2⁹).

The spelling of 228284 in words is "two hundred twenty-eight thousand, two hundred eighty-four".