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4228 = 227151
BaseRepresentation
bin1000010000100
312210121
41002010
5113403
631324
715220
oct10204
95717
104228
1131a4
122544
131c03
141780
1513bd
hex1084

4228 has 12 divisors (see below), whose sum is σ = 8512. Its totient is φ = 1800.

The previous prime is 4219. The next prime is 4229. The reversal of 4228 is 8224.

Adding to 4228 its product of digits (128), we get a square (4356 = 662).

It can be divided in two parts, 42 and 28, that multiplied together give a triangular number (1176 = T48).

4228 is an admirable number.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 4 + 26 + 212 + 82 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48 + ... + 103.

It is an amenable number.

4228 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256).

4228 is a wasteful number, since it uses less digits than its factorization.

4228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 160 counting only the distinct ones).

The product of its digits is 128, while the sum is 16.

The square root of 4228 is about 65.0230728280. The cubic root of 4228 is about 16.1700610485.

The spelling of 4228 in words is "four thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 28 151 302 604 1057 2114 4228