13000224 has 48 divisors (see below), whose sum is σ = 34352640. Its totient is φ = 4304640.

The previous prime is 13000219. The next prime is 13000243. The reversal of 13000224 is 42200031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17982 + ... + 18690.

It is an arithmetic number, because the mean of its divisors is an integer number (715680).

Almost surely, 2^13000224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176320).

13000224 is an abundant number, since it is smaller than the sum of its proper divisors (21352416).

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

13000224 is a wasteful number, since it uses less digits than its factorization.

13000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 13000224 is about 3605.5823385412. The cubic root of 13000224 is about 235.1348192745.

Adding to 13000224 its reverse (42200031), we get a palindrome (55200255).

The spelling of 13000224 in words is "thirteen million, two hundred twenty-four", and thus it is an aban number.