# 8228

## 8,228 is an even composite number composed of three prime numbers multiplied together.

What does the number 8228 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 18 divisors.

8228 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eighteen divisors.

## Prime factorization of 8228:

### 22 × 112 × 17

(2 × 2 × 11 × 11 × 17)

See below for interesting mathematical facts about the number 8228 from the Numbermatics database.

### Names of 8228

• Cardinal: 8228 can be written as Eight thousand, two hundred twenty-eight.

### Scientific notation

• Scientific notation: 8.228 × 103

### Factors of 8228

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 30

### Divisors of 8228

• Number of divisors d(n): 18
• Complete list of divisors:
• Sum of all divisors σ(n): 16758
• Sum of proper divisors (its aliquot sum) s(n): 8530
• 8228 is an abundant number, because the sum of its proper divisors (8530) is greater than itself. Its abundance is 302

### Bases of 8228

• Binary: 100000001001002
• Base-36: 6CK

### Squares and roots of 8228

• 8228 squared (82282) is 67699984
• 8228 cubed (82283) is 557035468352
• The square root of 8228 is 90.7083237635
• The cube root of 8228 is 20.1882230473

### Scales and comparisons

How big is 8228?
• 8,228 seconds is equal to 2 hours, 17 minutes, 8 seconds.
• To count from 1 to 8,228 would take you about two hours.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 8228 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8228

• 8228 is the same when its digits are reversed! That makes it a palindromic number.
• The number of decimal digits it has is: 4
• The sum of 8228's digits is 20
• More coming soon!