13224300 has 72 divisors (see below), whose sum is σ = 40528656. Its totient is φ = 3317760.

The previous prime is 13224271. The next prime is 13224313. The reversal of 13224300 is 342231.

13224300 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13224300² = 349764220980000, which contains 22 as substring.

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 13224300.

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, 3804 + ... + 6396.

It is an arithmetic number, because the mean of its divisors is an integer number (562898).

Almost surely, 2^13224300 is an apocalyptic number.

13224300 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 13224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20264328).

13224300 is an abundant number, since it is smaller than the sum of its proper divisors (27304356).

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

13224300 is a wasteful number, since it uses less digits than its factorization.

13224300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 13224300 is about 3636.5230646869. The cubic root of 13224300 is about 236.4780838081.

Adding to 13224300 its reverse (342231), we get a palindrome (13566531).

The spelling of 13224300 in words is "thirteen million, two hundred twenty-four thousand, three hundred".