224103875742 has 192 divisors, whose sum is σ = 555257954880. Its totient is φ = 66741442560.

The previous prime is 224103875729. The next prime is 224103875747. The reversal of 224103875742 is 247578301422.

224103875742 is a `hidden beast` number, since 2 + 2 + 41 + 0 + 38 + 7 + 574 + 2 = 666.

224103875742 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224103875747) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46754098 + ... + 46758890.

It is an arithmetic number, because the mean of its divisors is an integer number (2891968515).

Almost surely, 2^224103875742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224103875742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277628977440).

224103875742 is an abundant number, since it is smaller than the sum of its proper divisors (331154079138).

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

224103875742 is a wasteful number, since it uses less digits than its factorization.

224103875742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 224103875742 in words is "two hundred twenty-four billion, one hundred three million, eight hundred seventy-five thousand, seven hundred forty-two".