13223600 has 60 divisors (see below), whose sum is σ = 34226976. Its totient is φ = 4880640.

The previous prime is 13223593. The next prime is 13223629. The reversal of 13223600 is 632231.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3929 + ... + 6471.

Almost surely, 2^13223600 is an apocalyptic number.

13223600 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 13223600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113488).

13223600 is an abundant number, since it is smaller than the sum of its proper divisors (21003376).

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

13223600 is a wasteful number, since it uses less digits than its factorization.

13223600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 13223600 is about 3636.4268176329. The cubic root of 13223600 is about 236.4739112475.

Adding to 13223600 its reverse (632231), we get a palindrome (13855831).

It can be divided in two parts, 132 and 23600, that added together give a palindrome (23732).

The spelling of 13223600 in words is "thirteen million, two hundred twenty-three thousand, six hundred".