224413220232240 has 640 divisors, whose sum is σ = 826884176025600. Its totient is φ = 49814735093760.

The previous prime is 224413220232209. The next prime is 224413220232259. The reversal of 224413220232240 is 42232022314422.

It is a super-2 number, since 2×224413220232240² (a number of 30 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 200942101 + ... + 202055819.

It is an arithmetic number, because the mean of its divisors is an integer number (1292006525040).

Almost surely, 2^{224413220232240} is an apocalyptic number.

224413220232240 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 224413220232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413442088012800).

224413220232240 is an abundant number, since it is smaller than the sum of its proper divisors (602470955793360).

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

224413220232240 is a wasteful number, since it uses less digits than its factorization.

224413220232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113925 (or 1113919 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 224413220232240 its reverse (42232022314422), we get a palindrome (266645242546662).

The spelling of 224413220232240 in words is "two hundred twenty-four trillion, four hundred thirteen billion, two hundred twenty million, two hundred thirty-two thousand, two hundred forty".