# 1022

## 1,022 is an even composite number composed of three prime numbers multiplied together.

What does the number 1022 look like?

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

1022 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 1022:

### 2 × 7 × 73

See below for interesting mathematical facts about the number 1022 from the Numbermatics database.

### Names of 1022

• Cardinal: 1022 can be written as One thousand and twenty-two.

### Scientific notation

• Scientific notation: 1.022 × 103

### Factors of 1022

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 82

### Divisors of 1022

• Number of divisors d(n): 8
• Complete list of divisors:
• Sum of all divisors σ(n): 1776
• Sum of proper divisors (its aliquot sum) s(n): 754
• 1022 is a deficient number, because the sum of its proper divisors (754) is less than itself. Its deficiency is 268

### Bases of 1022

• Binary: 11111111102
• Base-36: SE

### Squares and roots of 1022

• 1022 squared (10222) is 1044484
• 1022 cubed (10223) is 1067462648
• The square root of 1022 is 31.9687347263
• The cube root of 1022 is 10.0728020335

### Scales and comparisons

How big is 1022?
• 1,022 seconds is equal to 17 minutes, 2 seconds.
• To count from 1 to 1,022 would take you about seventeen 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 1022 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1022

• 1022 backwards is 2201
• The number of decimal digits it has is: 4
• The sum of 1022's digits is 5
• More coming soon!