22180224 has 128 divisors (see below), whose sum is σ = 66096000. Its totient is φ = 6533120.

The previous prime is 22180219. The next prime is 22180229. The reversal of 22180224 is 42208122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22180219) and next prime (22180229).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 22180224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22180229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249172 + ... + 249260.

It is an arithmetic number, because the mean of its divisors is an integer number (516375).

Almost surely, 2^22180224 is an apocalyptic number.

22180224 is a gapful number since it is divisible by the number (24) 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 22180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33048000).

22180224 is an abundant number, since it is smaller than the sum of its proper divisors (43915776).

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

22180224 is a wasteful number, since it uses less digits than its factorization.

22180224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 22180224 is about 4709.5885170575. The cubic root of 22180224 is about 280.9669967107.

Adding to 22180224 its reverse (42208122), we get a palindrome (64388346).

The spelling of 22180224 in words is "twenty-two million, one hundred eighty thousand, two hundred twenty-four".