13222320 has 80 divisors (see below), whose sum is σ = 42125280. Its totient is φ = 3428352.

The previous prime is 13222303. The next prime is 13222327. The reversal of 13222320 is 2322231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13222320.

It is not an unprimeable number, because it can be changed into a prime (13222327) 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, 8136 + ... + 9624.

It is an arithmetic number, because the mean of its divisors is an integer number (526566).

Almost surely, 2^13222320 is an apocalyptic number.

13222320 is a gapful number since it is divisible by the number (10) 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 13222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062640).

13222320 is an abundant number, since it is smaller than the sum of its proper divisors (28902960).

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

13222320 is a wasteful number, since it uses less digits than its factorization.

13222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13222320 is about 3636.2508164317. The cubic root of 13222320 is about 236.4662810416.

Adding to 13222320 its reverse (2322231), we get a palindrome (15544551).

The spelling of 13222320 in words is "thirteen million, two hundred twenty-two thousand, three hundred twenty".