224433300000 has 576 divisors, whose sum is σ = 906417485568. Its totient is φ = 47347200000.

The previous prime is 224433299977. The next prime is 224433300037. The reversal of 224433300000 is 3334422.

It is a super-2 number, since 2×224433300000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 224433300000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27295890 + ... + 27304110.

It is an arithmetic number, because the mean of its divisors is an integer number (1573641468).

Almost surely, 2^224433300000 is an apocalyptic number.

224433300000 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 224433300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453208742784).

224433300000 is an abundant number, since it is smaller than the sum of its proper divisors (681984185568).

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

224433300000 is an equidigital number, since it uses as much as digits as its factorization.

224433300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 224433300000 its reverse (3334422), we get a palindrome (224436634422).

The spelling of 224433300000 in words is "two hundred twenty-four billion, four hundred thirty-three million, three hundred thousand".