224286004320 has 192 divisors, whose sum is σ = 809022090240. Its totient is φ = 51164264448.

The previous prime is 224286004249. The next prime is 224286004351. The reversal of 224286004320 is 23400682422.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1644669 + ... + 1775811.

It is an arithmetic number, because the mean of its divisors is an integer number (4213656720).

Almost surely, 2^224286004320 is an apocalyptic number.

224286004320 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 224286004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404511045120).

224286004320 is an abundant number, since it is smaller than the sum of its proper divisors (584736085920).

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

224286004320 is a wasteful number, since it uses less digits than its factorization.

224286004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131677 (or 131669 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 224286004320 its reverse (23400682422), we get a palindrome (247686686742).

The spelling of 224286004320 in words is "two hundred twenty-four billion, two hundred eighty-six million, four thousand, three hundred twenty".