224240214400 has 192 divisors, whose sum is σ = 566285742000. Its totient is φ = 87713669120.

The previous prime is 224240214391. The next prime is 224240214403. The reversal of 224240214400 is 4412042422.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224240214403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37190586 + ... + 37196614.

Almost surely, 2^224240214400 is an apocalyptic number.

224240214400 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 224240214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283142871000).

224240214400 is an abundant number, since it is smaller than the sum of its proper divisors (342045527600).

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

224240214400 is a wasteful number, since it uses less digits than its factorization.

224240214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309 (or 6292 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 224240214400 its reverse (4412042422), we get a palindrome (228652256822).

The spelling of 224240214400 in words is "two hundred twenty-four billion, two hundred forty million, two hundred fourteen thousand, four hundred".