10224243224 has 64 divisors (see below), whose sum is σ = 21879849600. Its totient is φ = 4437172224.

The previous prime is 10224243203. The next prime is 10224243229. The reversal of 10224243224 is 42234242201.

It is a Cunningham number, because it is equal to 101115²-1.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 10224243193 and 10224243202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224243229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2627072 + ... + 2630960.

It is an arithmetic number, because the mean of its divisors is an integer number (341872650).

Almost surely, 2^10224243224 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 10224243224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10939924800).

10224243224 is an abundant number, since it is smaller than the sum of its proper divisors (11655606376).

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

10224243224 is a wasteful number, since it uses less digits than its factorization.

10224243224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412 (or 5408 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 10224243224 its reverse (42234242201), we get a palindrome (52458485425).

The spelling of 10224243224 in words is "ten billion, two hundred twenty-four million, two hundred forty-three thousand, two hundred twenty-four".