8218224 has 120 divisors (see below), whose sum is σ = 27236352. Its totient is φ = 2263680.

The previous prime is 8218207. The next prime is 8218229. The reversal of 8218224 is 4228128.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8218229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31117 + ... + 31379.

Almost surely, 2^8218224 is an apocalyptic number.

8218224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8218224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618176).

8218224 is an abundant number, since it is smaller than the sum of its proper divisors (19018128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8218224 is a wasteful number, since it uses less digits than its factorization.

8218224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 8218224 is about 2866.7444950675. The cubic root of 8218224 is about 201.8022441318.

It can be divided in two parts, 821 and 8224, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 8218224 in words is "eight million, two hundred eighteen thousand, two hundred twenty-four".