23224211242232 has 256 divisors, whose sum is σ = 59536386201600. Its totient is φ = 8200507392000.

The previous prime is 23224211242231. The next prime is 23224211242283.

23224211242232 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23224211242231) 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, 136940144 + ... + 137109632.

It is an arithmetic number, because the mean of its divisors is an integer number (232564008600).

Almost surely, 2^{23224211242232} is an apocalyptic number.

23224211242232 is a gapful number since it is divisible by the number (22) 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 23224211242232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29768193100800).

23224211242232 is an abundant number, since it is smaller than the sum of its proper divisors (36312174959368).

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

23224211242232 is a wasteful number, since it uses less digits than its factorization.

23224211242232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169838 (or 169834 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 2322421 and 1242232, that added together give a palindrome (3564653).

The spelling of 23224211242232 in words is "twenty-three trillion, two hundred twenty-four billion, two hundred eleven million, two hundred forty-two thousand, two hundred thirty-two".