224400300000 has 288 divisors, whose sum is σ = 738234000000. Its totient is φ = 59680320000.

The previous prime is 224400299989. The next prime is 224400300011. The reversal of 224400300000 is 3004422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (224400299989) and next prime (224400300011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149699251 + ... + 149700749.

It is an arithmetic number, because the mean of its divisors is an integer number (2563312500).

Almost surely, 2^224400300000 is an apocalyptic number.

224400300000 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 224400300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369117000000).

224400300000 is an abundant number, since it is smaller than the sum of its proper divisors (513833700000).

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

224400300000 is an equidigital number, since it uses as much as digits as its factorization.

224400300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 224400300000 its reverse (3004422), we get a palindrome (224403304422).

The spelling of 224400300000 in words is "two hundred twenty-four billion, four hundred million, three hundred thousand".