13225200 has 120 divisors (see below), whose sum is σ = 43175808. Its totient is φ = 3459840.

The previous prime is 13225193. The next prime is 13225213. The reversal of 13225200 is 252231.

13225200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13225200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123547 + ... + 123653.

Almost surely, 2^13225200 is an apocalyptic number.

13225200 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 13225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587904).

13225200 is an abundant number, since it is smaller than the sum of its proper divisors (29950608).

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

13225200 is a wasteful number, since it uses less digits than its factorization.

13225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 13225200 is about 3636.6468071563. The cubic root of 13225200 is about 236.4834483125.

Adding to 13225200 its reverse (252231), we get a palindrome (13477431).

The spelling of 13225200 in words is "thirteen million, two hundred twenty-five thousand, two hundred".