13222000 has 80 divisors (see below), whose sum is σ = 34935264. Its totient is φ = 4800000.

The previous prime is 13221997. The next prime is 13222031. The reversal of 13222000 is 22231.

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 (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21700 + ... + 22300.

Almost surely, 2^13222000 is an apocalyptic number.

13222000 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 13222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17467632).

13222000 is an abundant number, since it is smaller than the sum of its proper divisors (21713264).

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

13222000 is a wasteful number, since it uses less digits than its factorization.

13222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 13222000 is about 3636.2068148003. The cubic root of 13222000 is about 236.4643734131.

Adding to 13222000 its reverse (22231), we get a palindrome (13244231).

The spelling of 13222000 in words is "thirteen million, two hundred twenty-two thousand".