224119108240 has 40 divisors (see below), whose sum is σ = 521096971320. Its totient is φ = 89644194816.

The previous prime is 224119108237. The next prime is 224119108247. The reversal of 224119108240 is 42801911422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 58658902416 + 165460205824 = 242196^2 + 406768^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 224119108196 and 224119108205.

It is not an unprimeable number, because it can be changed into a prime (224119108247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3471132 + ... + 3535108.

It is an arithmetic number, because the mean of its divisors is an integer number (13027424283).

Almost surely, 2^224119108240 is an apocalyptic number.

224119108240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224119108240 is an abundant number, since it is smaller than the sum of its proper divisors (296977863080).

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

224119108240 is a wasteful number, since it uses less digits than its factorization.

224119108240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107779 (or 107773 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 224119108240 in words is "two hundred twenty-four billion, one hundred nineteen million, one hundred eight thousand, two hundred forty".