22180320 has 144 divisors (see below), whose sum is σ = 77090832. Its totient is φ = 5806080.

The previous prime is 22180309. The next prime is 22180321. The reversal of 22180320 is 2308122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22180293 and 22180302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22180321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105015 + ... + 105225.

It is an arithmetic number, because the mean of its divisors is an integer number (535353).

Almost surely, 2^22180320 is an apocalyptic number.

22180320 is a gapful number since it is divisible by the number (20) 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 22180320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38545416).

22180320 is an abundant number, since it is smaller than the sum of its proper divisors (54910512).

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

22180320 is a wasteful number, since it uses less digits than its factorization.

22180320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22180320 is about 4709.5987090197. The cubic root of 22180320 is about 280.9674020687.

Adding to 22180320 its reverse (2308122), we get a palindrome (24488442).

It can be divided in two parts, 22180 and 320, that added together give a square (22500 = 150²).

The spelling of 22180320 in words is "twenty-two million, one hundred eighty thousand, three hundred twenty".