242200220232344 has 96 divisors (see below), whose sum is σ = 520969717820160. Its totient is φ = 105283346900160.

The previous prime is 242200220232283. The next prime is 242200220232403. The reversal of 242200220232344 is 443232022002242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 242200220232344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110299589 + ... + 112473995.

It is an arithmetic number, because the mean of its divisors is an integer number (5426767893960).

Almost surely, 2^{242200220232344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242200220232344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260484858910080).

242200220232344 is an abundant number, since it is smaller than the sum of its proper divisors (278769497587816).

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

242200220232344 is a wasteful number, since it uses less digits than its factorization.

242200220232344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179461 (or 2179446 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 242200220232344 its reverse (443232022002242), we get a palindrome (685432242234586).

The spelling of 242200220232344 in words is "two hundred forty-two trillion, two hundred billion, two hundred twenty million, two hundred thirty-two thousand, three hundred forty-four".