10022032224 has 72 divisors (see below), whose sum is σ = 28592050032. Its totient is φ = 3329905920.

The previous prime is 10022032211. The next prime is 10022032313. The reversal of 10022032224 is 42223022001.

10022032224 is a `hidden beast` number, since 100 + 220 + 322 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10022032224² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10022032197 and 10022032206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33622 + ... + 145514.

It is an arithmetic number, because the mean of its divisors is an integer number (397111806).

Almost surely, 2^10022032224 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 10022032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14296025016).

10022032224 is an abundant number, since it is smaller than the sum of its proper divisors (18570017808).

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

10022032224 is a wasteful number, since it uses less digits than its factorization.

10022032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112220 (or 112209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10022032224 its reverse (42223022001), we get a palindrome (52245054225).

The spelling of 10022032224 in words is "ten billion, twenty-two million, thirty-two thousand, two hundred twenty-four".