# 2221

## 2,221 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 2221 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

2221 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 2221:

### 2221

See below for interesting mathematical facts about the number 2221 from the Numbermatics database.

### Names of 2221

• Cardinal: 2221 can be written as Two thousand, two hundred twenty-one.

### Scientific notation

• Scientific notation: 2.221 × 103

### Factors of 2221

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 2221

### Divisors of 2221

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 2222
• Sum of proper divisors (its aliquot sum) s(n): 1
• 2221 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2220

### Bases of 2221

• Binary: 1000101011012
• Base-36: 1PP

### Squares and roots of 2221

• 2221 squared (22212) is 4932841
• 2221 cubed (22213) is 10955839861
• The square root of 2221 is 47.1274866717
• The cube root of 2221 is 13.0471659461

### Scales and comparisons

How big is 2221?
• 2,221 seconds is equal to 37 minutes, 1 second.
• To count from 1 to 2,221 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 2221 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2221

• 2221 backwards is 1222
• The number of decimal digits it has is: 4
• The sum of 2221's digits is 7
• More coming soon!