10224410224 has 80 divisors (see below), whose sum is σ = 22847093248. Its totient is φ = 4341931776.

The previous prime is 10224410213. The next prime is 10224410233. The reversal of 10224410224 is 42201442201.

It is a junction number, because it is equal to n+sod(n) for n = 10224410195 and 10224410204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9617917 + ... + 9618979.

Almost surely, 2^10224410224 is an apocalyptic number.

10224410224 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 10224410224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11423546624).

10224410224 is an abundant number, since it is smaller than the sum of its proper divisors (12622683024).

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

10224410224 is a wasteful number, since it uses less digits than its factorization.

10224410224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 10224410224 its reverse (42201442201), we get a palindrome (52425852425).

The spelling of 10224410224 in words is "ten billion, two hundred twenty-four million, four hundred ten thousand, two hundred twenty-four".