13222400 has 60 divisors (see below), whose sum is σ = 32791242. Its totient is φ = 5283840.

The previous prime is 13222343. The next prime is 13222411. The reversal of 13222400 is 422231.

It can be written as a sum of positive squares in 3 ways, for example, as 12503296 + 719104 = 3536^2 + 848^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12284 + ... + 13316.

Almost surely, 2^13222400 is an apocalyptic number.

13222400 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 13222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16395621).

13222400 is an abundant number, since it is smaller than the sum of its proper divisors (19568842).

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

13222400 is an equidigital number, since it uses as much as digits as its factorization.

13222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 13222400 is about 3636.2618167563. The cubic root of 13222400 is about 236.4667579439.

Adding to 13222400 its reverse (422231), we get a palindrome (13644631).

The spelling of 13222400 in words is "thirteen million, two hundred twenty-two thousand, four hundred".