19722

19722 is a natural number that follows 19721 and precedes 19723. In mathematical terms, it is an even, composite number with a prime factorization of 2 × 3 × 19 × 173. As a product of four distinct primes, it has 16 positive divisors. The sum of its divisors (including the number itself) is 41760, making the sum of proper divisors 22038; thus 19722 is classified as an abundant number, with an abundance of 2316.

In various representations, 19722 can be expressed as 0x4D0A in hexadecimal, and in binary it is 100110100001010. The representation in these bases can be useful for computer-related contexts or digital computation. From a number theory perspective, because its prime factorization includes a prime congruent to 3 mod 4 (namely 3) with an odd exponent, 19722 cannot be written as a sum of two squares.

There is no widely recognized historical or cultural significance attached to the number 19722 itself. It is primarily noted for its arithmetic properties and its role as a specific natural number within the sequence of integers. As with many integers, 19722 may appear in various datasets or numerical examples, but it is not associated with a notable named constant, theorem, or event.