# 2252

## 2,252 is an even composite number composed of two prime numbers multiplied together.

What does the number 2252 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

2252 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of six divisors.

## Prime factorization of 2252:

### 22 × 563

(2 × 2 × 563)

See below for interesting mathematical facts about the number 2252 from the Numbermatics database.

### Names of 2252

• Cardinal: 2252 can be written as Two thousand, two hundred fifty-two.

### Scientific notation

• Scientific notation: 2.252 × 103

### Factors of 2252

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 565

### Divisors of 2252

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 3948
• Sum of proper divisors (its aliquot sum) s(n): 1696
• 2252 is a deficient number, because the sum of its proper divisors (1696) is less than itself. Its deficiency is 556

### Bases of 2252

• Binary: 1000110011002
• Base-36: 1QK

### Squares and roots of 2252

• 2252 squared (22522) is 5071504
• 2252 cubed (22523) is 11421027008
• The square root of 2252 is 47.4552420709
• The cube root of 2252 is 13.1075884011

### Scales and comparisons

How big is 2252?
• 2,252 seconds is equal to 37 minutes, 32 seconds.
• To count from 1 to 2,252 would take you about thirty-seven 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 2252 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2252

• 2252 backwards is 2522
• The number of decimal digits it has is: 4
• The sum of 2252's digits is 11
• More coming soon!