22005024 has 48 divisors (see below), whose sum is σ = 59004288. Its totient is φ = 7177472.

The previous prime is 22005019. The next prime is 22005031. The reversal of 22005024 is 42050022.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 22004994 and 22005012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2074 + ... + 6950.

It is an arithmetic number, because the mean of its divisors is an integer number (1229256).

Almost surely, 2^22005024 is an apocalyptic number.

22005024 is a gapful number since it is divisible by the number (24) 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 22005024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29502144).

22005024 is an abundant number, since it is smaller than the sum of its proper divisors (36999264).

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

22005024 is a wasteful number, since it uses less digits than its factorization.

22005024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 22005024 is about 4690.9512894508. The cubic root of 22005024 is about 280.2252609051.

Adding to 22005024 its reverse (42050022), we get a palindrome (64055046).

The spelling of 22005024 in words is "twenty-two million, five thousand, twenty-four".