# 2207

## 2,207 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 2207 look like?

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

2207 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 2207:

### 2207

See below for interesting mathematical facts about the number 2207 from the Numbermatics database.

### Names of 2207

• Cardinal: 2207 can be written as Two thousand, two hundred seven.

### Scientific notation

• Scientific notation: 2.207 × 103

### Factors of 2207

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 2207

### Divisors of 2207

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 2208
• Sum of proper divisors (its aliquot sum) s(n): 1
• 2207 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 2206

### Bases of 2207

• Binary: 1000100111112
• Base-36: 1PB

### Squares and roots of 2207

• 2207 squared (22072) is 4870849
• 2207 cubed (22073) is 10749963743
• The square root of 2207 is 46.9787185861
• The cube root of 2207 is 13.0196940159

### Scales and comparisons

How big is 2207?
• 2,207 seconds is equal to 36 minutes, 47 seconds.
• To count from 1 to 2,207 would take you about thirty-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 2207 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2207

• 2207 backwards is 7022
• The number of decimal digits it has is: 4
• The sum of 2207's digits is 11
• More coming soon!