224400000000 has 792 divisors, whose sum is σ = 863577682848. Its totient is φ = 51200000000.

The previous prime is 224399999981. The next prime is 224400000047. The reversal of 224400000000 is 4422.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 13199999992 + ... + 13200000008.

Almost surely, 2^224400000000 is an apocalyptic number.

224400000000 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 224400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431788841424).

224400000000 is an abundant number, since it is smaller than the sum of its proper divisors (639177682848).

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

224400000000 is an frugal number, since it uses more digits than its factorization.

224400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 224400000000 its reverse (4422), we get a palindrome (224400004422).

The spelling of 224400000000 in words is "two hundred twenty-four billion, four hundred million", and thus it is an aban number.