13352200 has 48 divisors (see below), whose sum is σ = 31398660. Its totient is φ = 5280000.

The previous prime is 13352197. The next prime is 13352203. The reversal of 13352200 is 225331.

13352200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13352197) and next prime (13352203).

It can be written as a sum of positive squares in 6 ways, for example, as 10536516 + 2815684 = 3246^2 + 1678^2 .

It is not an unprimeable number, because it can be changed into a prime (13352203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19870 + ... + 20530.

Almost surely, 2^13352200 is an apocalyptic number.

13352200 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 13352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15699330).

13352200 is an abundant number, since it is smaller than the sum of its proper divisors (18046460).

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

13352200 is a wasteful number, since it uses less digits than its factorization.

13352200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 13352200 is about 3654.0662281902. The cubic root of 13352200 is about 237.2380121213.

Adding to 13352200 its reverse (225331), we get a palindrome (13577531).

The spelling of 13352200 in words is "thirteen million, three hundred fifty-two thousand, two hundred".