224241131142 has 192 divisors, whose sum is σ = 589666521600. Its totient is φ = 60236628480.

The previous prime is 224241131129. The next prime is 224241131173. The reversal of 224241131142 is 241131142422.

224241131142 is a `hidden beast` number, since 2 + 242 + 411 + 3 + 1 + 1 + 4 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23062842 + ... + 23072562.

It is an arithmetic number, because the mean of its divisors is an integer number (3071179800).

Almost surely, 2^224241131142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224241131142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294833260800).

224241131142 is an abundant number, since it is smaller than the sum of its proper divisors (365425390458).

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

224241131142 is a wasteful number, since it uses less digits than its factorization.

224241131142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9931 (or 9928 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 224241131142 its reverse (241131142422), we get a palindrome (465372273564).

The spelling of 224241131142 in words is "two hundred twenty-four billion, two hundred forty-one million, one hundred thirty-one thousand, one hundred forty-two".