13022233224 has 512 divisors, whose sum is σ = 47067955200. Its totient is φ = 2890183680.

The previous prime is 13022233207. The next prime is 13022233253. The reversal of 13022233224 is 42233222031.

It is a Cunningham number, because it is equal to 114115²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13022233194 and 13022233203.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21453129 + ... + 21453735.

It is an arithmetic number, because the mean of its divisors is an integer number (91929600).

Almost surely, 2^13022233224 is an apocalyptic number.

13022233224 is a gapful number since it is divisible by the number (14) 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 13022233224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23533977600).

13022233224 is an abundant number, since it is smaller than the sum of its proper divisors (34045721976).

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

13022233224 is a wasteful number, since it uses less digits than its factorization.

13022233224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13022233224 its reverse (42233222031), we get a palindrome (55255455255).

The spelling of 13022233224 in words is "thirteen billion, twenty-two million, two hundred thirty-three thousand, two hundred twenty-four".