222264

222,264 is a positive integer. In prime factorization form, it equals 2^3 × 3^4 × 7^3. This shows that the number is even and composed of multiple prime factors, with 2, 3, and 7 as its only primes. The exponents indicate a strong presence of both 3 and 7 in its factorization.

As a result, 222,264 has 80 divisors in total, calculated from the exponents as (3+1) × (4+1) × (3+1) = 4 × 5 × 4 = 80. It is divisible by 2, 3, and 7, as well as by higher powers such as 8 (2^3), 9 (3^2), 27 (3^3), 49 (7^2), and 343 (7^3). In particular, it is divisible by 8, 9, and 343, since these are factors corresponding to the prime powers in its factorization. The digit sum of 222,264 is 18, so the number is divisible by 3 and by 9; indeed, 222,264 ÷ 9 = 24,696.

Other notes about its arithmetic: it is not a prime, and it is not a perfect power (the greatest common divisor of the exponents in its prime factorization is 1, so it cannot be written as a^b with b > 1). It is a Harshad number in base 10, since it is divisible by the sum of its digits (18). Its approximate magnitude is 2.2 × 10^5, and its representation in other bases would reflect the same factor structure in different forms.