# 2251

## 2,251 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 2251 look like?

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

2251 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 2251:

### 2251

See below for interesting mathematical facts about the number 2251 from the Numbermatics database.

### Names of 2251

• Cardinal: 2251 can be written as Two thousand, two hundred fifty-one.

### Scientific notation

• Scientific notation: 2.251 × 103

### Factors of 2251

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 2251

### Divisors of 2251

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 2252
• Sum of proper divisors (its aliquot sum) s(n): 1
• 2251 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2250

### Bases of 2251

• Binary: 1000110010112
• Base-36: 1QJ

### Squares and roots of 2251

• 2251 squared (22512) is 5067001
• 2251 cubed (22513) is 11405819251
• The square root of 2251 is 47.4447046571
• The cube root of 2251 is 13.1056479737

### Scales and comparisons

How big is 2251?
• 2,251 seconds is equal to 37 minutes, 31 seconds.
• To count from 1 to 2,251 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 2251 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2251

• 2251 backwards is 1522
• The number of decimal digits it has is: 4
• The sum of 2251's digits is 10
• More coming soon!