224042031333234 has 128 divisors (see below), whose sum is σ = 534068235648000. Its totient is φ = 70234697804544.

The previous prime is 224042031333233. The next prime is 224042031333247. The reversal of 224042031333234 is 432333130240422.

224042031333234 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 4 + 2 + 0 + 313 + 332 + 3 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (224042031333233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97537792 + ... + 99808340.

It is an arithmetic number, because the mean of its divisors is an integer number (4172408091000).

Almost surely, 2^{224042031333234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224042031333234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267034117824000).

224042031333234 is an abundant number, since it is smaller than the sum of its proper divisors (310026204314766).

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

224042031333234 is a wasteful number, since it uses less digits than its factorization.

224042031333234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271916 (or 2271898 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 224042031333234 its reverse (432333130240422), we get a palindrome (656375161573656).

The spelling of 224042031333234 in words is "two hundred twenty-four trillion, forty-two billion, thirty-one million, three hundred thirty-three thousand, two hundred thirty-four".