224104232400 has 240 divisors, whose sum is σ = 756152317440. Its totient is φ = 56579212800.

The previous prime is 224104232329. The next prime is 224104232411. The reversal of 224104232400 is 4232401422.

224104232400 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60714555 + ... + 60718245.

It is an arithmetic number, because the mean of its divisors is an integer number (3150634656).

Almost surely, 2^224104232400 is an apocalyptic number.

224104232400 is a gapful number since it is divisible by the number (20) 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 224104232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378076158720).

224104232400 is an abundant number, since it is smaller than the sum of its proper divisors (532048085040).

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

224104232400 is a wasteful number, since it uses less digits than its factorization.

224104232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6383 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 224104232400 its reverse (4232401422), we get a palindrome (228336633822).

The spelling of 224104232400 in words is "two hundred twenty-four billion, one hundred four million, two hundred thirty-two thousand, four hundred".