224221420344032 has 72 divisors (see below), whose sum is σ = 467031315618000. Its totient is φ = 105950461736448.

The previous prime is 224221420343929. The next prime is 224221420344071. The reversal of 224221420344032 is 230443024122422.

It is a junction number, because it is equal to n+sod(n) for n = 224221420343983 and 224221420344001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19003532 + ... + 28453067.

It is an arithmetic number, because the mean of its divisors is an integer number (6486546050250).

Almost surely, 2^{224221420344032} is an apocalyptic number.

It is an amenable number.

224221420344032 is an abundant number, since it is smaller than the sum of its proper divisors (242809895273968).

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

224221420344032 is a wasteful number, since it uses less digits than its factorization.

224221420344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47457056 (or 47457029 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 224221420344032 its reverse (230443024122422), we get a palindrome (454664444466454).

The spelling of 224221420344032 in words is "two hundred twenty-four trillion, two hundred twenty-one billion, four hundred twenty million, three hundred forty-four thousand, thirty-two".