224142433122340 has 96 divisors (see below), whose sum is σ = 488530590043104. Its totient is φ = 86323215728640.

The previous prime is 224142433122259. The next prime is 224142433122343. The reversal of 224142433122340 is 43221334241422.

It can be written as a sum of positive squares in 16 ways, for example, as 125710199747136 + 98432233375204 = 11212056^2 + 9921302^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 224142433122340.

It is not an unprimeable number, because it can be changed into a prime (224142433122343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24086142 + ... + 32069098.

It is an arithmetic number, because the mean of its divisors is an integer number (5088860312949).

Almost surely, 2^{224142433122340} is an apocalyptic number.

224142433122340 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 224142433122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244265295021552).

224142433122340 is an abundant number, since it is smaller than the sum of its proper divisors (264388156920764).

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

224142433122340 is a wasteful number, since it uses less digits than its factorization.

224142433122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7983457 (or 7983455 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 224142433122340 its reverse (43221334241422), we get a palindrome (267363767363762).

The spelling of 224142433122340 in words is "two hundred twenty-four trillion, one hundred forty-two billion, four hundred thirty-three million, one hundred twenty-two thousand, three hundred forty".