224040214320 has 160 divisors (see below), whose sum is σ = 757418188800. Its totient is φ = 54450220032.

The previous prime is 224040214303. The next prime is 224040214361. The reversal of 224040214320 is 23412040422.

224040214320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208000 + ... + 700959.

It is an arithmetic number, because the mean of its divisors is an integer number (4733863680).

Almost surely, 2^224040214320 is an apocalyptic number.

224040214320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224040214320 is an abundant number, since it is smaller than the sum of its proper divisors (533377974480).

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

224040214320 is a wasteful number, since it uses less digits than its factorization.

224040214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909067 (or 909061 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 224040214320 its reverse (23412040422), we get a palindrome (247452254742).

The spelling of 224040214320 in words is "two hundred twenty-four billion, forty million, two hundred fourteen thousand, three hundred twenty".