13223200 has 36 divisors (see below), whose sum is σ = 32283090. Its totient is φ = 5288960.

The previous prime is 13223191. The next prime is 13223201. The reversal of 13223200 is 232231.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12082576 + 1140624 = 3476^2 + 1068^2 .

It is not an unprimeable number, because it can be changed into a prime (13223201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7465 + ... + 9064.

Almost surely, 2^13223200 is an apocalyptic number.

13223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13223200 is an abundant number, since it is smaller than the sum of its proper divisors (19059890).

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

13223200 is a wasteful number, since it uses less digits than its factorization.

13223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16549 (or 16536 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 13223200 is about 3636.3718181726. The cubic root of 13223200 is about 236.4715268610.

Adding to 13223200 its reverse (232231), we get a palindrome (13455431).

It can be divided in two parts, 132 and 23200, that added together give a palindrome (23332).

The spelling of 13223200 in words is "thirteen million, two hundred twenty-three thousand, two hundred".