10005223224 has 32 divisors (see below), whose sum is σ = 26329536000. Its totient is φ = 3159544032.

The previous prime is 10005223219. The next prime is 10005223229. The reversal of 10005223224 is 42232250001.

10005223224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10005223219) and next prime (10005223229).

It is a super-3 number, since 3×10005223224³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10005223224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005223229) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10970184 + ... + 10971095.

It is an arithmetic number, because the mean of its divisors is an integer number (822798000).

Almost surely, 2^10005223224 is an apocalyptic number.

It is an amenable number.

10005223224 is an abundant number, since it is smaller than the sum of its proper divisors (16324312776).

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

10005223224 is a wasteful number, since it uses less digits than its factorization.

10005223224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21941307 (or 21941303 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 10005223224 its reverse (42232250001), we get a palindrome (52237473225).

The spelling of 10005223224 in words is "ten billion, five million, two hundred twenty-three thousand, two hundred twenty-four".