10221424224 has 96 divisors (see below), whose sum is σ = 30811052160. Its totient is φ = 2934374400.

The previous prime is 10221424223. The next prime is 10221424237. The reversal of 10221424224 is 42242412201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 10221424194 and 10221424203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221424223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234657 + ... + 274784.

It is an arithmetic number, because the mean of its divisors is an integer number (320948460).

Almost surely, 2^10221424224 is an apocalyptic number.

It is an amenable number.

10221424224 is an abundant number, since it is smaller than the sum of its proper divisors (20589627936).

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

10221424224 is a wasteful number, since it uses less digits than its factorization.

10221424224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509484 (or 509476 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10221424224 its reverse (42242412201), we get a palindrome (52463836425).

The spelling of 10221424224 in words is "ten billion, two hundred twenty-one million, four hundred twenty-four thousand, two hundred twenty-four".