224224004000 has 48 divisors (see below), whose sum is σ = 550918387656. Its totient is φ = 89689600000.

The previous prime is 224224003979. The next prime is 224224004021. The reversal of 224224004000 is 400422422.

It is an interprime number because it is at equal distance from previous prime (224224003979) and next prime (224224004021).

It can be written as a sum of positive squares in 4 ways, for example, as 17813707024 + 206410296976 = 133468^2 + 454324^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28024001 + ... + 28032000.

Almost surely, 2^224224004000 is an apocalyptic number.

224224004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224224004000 is an abundant number, since it is smaller than the sum of its proper divisors (326694383656).

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

224224004000 is an equidigital number, since it uses as much as digits as its factorization.

224224004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56056026 (or 56056008 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 224224004000 its reverse (400422422), we get a palindrome (224624426422).

The spelling of 224224004000 in words is "two hundred twenty-four billion, two hundred twenty-four million, four thousand".