# 822

## 822 is an even composite number composed of three prime numbers multiplied together.

What does the number 822 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 8 divisors.

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

## Prime factorization of 822:

### 2 × 3 × 137

See below for interesting mathematical facts about the number 822 from the Numbermatics database.

### Names of 822

• Cardinal: 822 can be written as Eight hundred twenty-two.

### Scientific notation

• Scientific notation: 8.22 × 102

### Factors of 822

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 142

### Divisors of 822

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 1656
• Sum of proper divisors (its aliquot sum) s(n): 834
• 822 is an abundant number, because the sum of its proper divisors (834) is greater than itself. Its abundance is 12

### Bases of 822

• Binary: 11001101102
• Base-36: MU

### Squares and roots of 822

• 822 squared (8222) is 675684
• 822 cubed (8223) is 555412248
• The square root of 822 is 28.6705423737
• The cube root of 822 is 9.3675051209

### Scales and comparisons

How big is 822?
• 822 seconds is equal to 13 minutes, 42 seconds.
• To count from 1 to 822 would take you about six minutes.

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 822 cubic inches would be around 0.8 feet tall.

### Recreational maths with 822

• 822 backwards is 228
• The number of decimal digits it has is: 3
• The sum of 822's digits is 12
• More coming soon!