22
22 is a even composite number that follows 21 and precedes 23. It is composed of 4 distinct factors: 1, 2, 11, 22. Its prime factorization can be written as 2 × 11. 22 is classified as a deficient number based on the sum of its proper divisors. In computer science, 22 is represented as 10110 in binary and 16 in hexadecimal. Historically, it is written as XXII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 11) reveals 2 prime building blocks.
Divisible by 2
22 ends in 2, so it is even.
Divisible by 3
The digit sum 4 is not a multiple of 3.
Divisible by 4
The last two digits 22 are not divisible by 4.
Divisible by 5
22 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 4 is not a multiple of 9.
Divisible by 10
22 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 22 within several notable number theory sequences:
Timeline
Deep dive
How 22 breaks down
22 carries 4 distinct factors and a digit signature of 4 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 14, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10110 supports bitwise reasoning, hexadecimal 16 aligns with computing notation, and the Roman numeral XXII keeps the encyclopedic tradition alive. These attributes make 22 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 22 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (17–27) to tune search ranges, and educators feature 22 in worksheets about factor trees. Its binary footprint of length 5 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 22 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 22
Is 22 a prime number?
22 is composite with 4 total factors and the prime factorization 2 × 11.
What is the prime factorization of 22?
It breaks down as 2 × 11, multiplying the primes 2 × 11.
How is 22 represented in binary and hexadecimal?
22 converts to 10110 in binary and 16 in hexadecimal, which are helpful for computer science applications.
Is 22 a perfect square, cube, or triangular number?
22 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 22?
The digits sum to 4, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.