224014144222224 has 60 divisors (see below), whose sum is σ = 627776820418800. Its totient is φ = 74570337554112.

The previous prime is 224014144222223. The next prime is 224014144222243. The reversal of 224014144222224 is 422222441410422.

224014144222224 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 1 + 4 + 1 + 4 + 422 + 2 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (224014144222223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1052433354 + ... + 1052646185.

It is an arithmetic number, because the mean of its divisors is an integer number (10462947006980).

Almost surely, 2^{224014144222224} is an apocalyptic number.

224014144222224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224014144222224 is an abundant number, since it is smaller than the sum of its proper divisors (403762676196576).

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

224014144222224 is a wasteful number, since it uses less digits than its factorization.

224014144222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105080292 (or 2105080283 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 224014144222224 its reverse (422222441410422), we get a palindrome (646236585632646).

The spelling of 224014144222224 in words is "two hundred twenty-four trillion, fourteen billion, one hundred forty-four million, two hundred twenty-two thousand, two hundred twenty-four".