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228 = 22319
BaseRepresentation
bin11100100
322110
43210
51403
61020
7444
oct344
9273
10228
11198
12170
13147
14124
15103
hexe4

• 228 can be written using four 4's:

See also 113.
228 has 12 divisors (see below), whose sum is σ = 560. Its totient is φ = 72.

The previous prime is 227. The next prime is 229. The reversal of 228 is 822.

228 is nontrivially palindromic in base 7.

228 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

228 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (227) and next prime (229).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 19 = 228 / (2 + 2 + 8).

228 is strictly pandigital in base 4.

228 is a nontrivial repdigit in base 7.

It is a plaindrome in base 7, base 8, base 10, base 13 and base 14.

It is a nialpdrome in base 3, base 4, base 7 and base 16.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3 + ... + 21.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280).

228 is an abundant number, since it is smaller than the sum of its proper divisors (332).

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

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

228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 24 counting only the distinct ones).

The product of its digits is 32, while the sum is 12.

The square root of 228 is about 15.0996688705. The cubic root of 228 is about 6.1091147443.

Subtracting from 228 its sum of digits (12), we obtain a cube (216 = 63).

Subtracting from 228 its product of digits (32), we obtain a square (196 = 142).

The spelling of 228 in words is "two hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228