22024142010 has 96 divisors (see below), whose sum is σ = 61769569680. Its totient is φ = 5412363264.

The previous prime is 22024142009. The next prime is 22024142029. The reversal of 22024142010 is 1024142022.

22024142010 is a `hidden beast` number, since 2 + 2 + 0 + 241 + 420 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 620159409 + 21403982601 = 24903^2 + 146301^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 706636 + ... + 737144.

Almost surely, 2^22024142010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22024142010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30884784840).

22024142010 is an abundant number, since it is smaller than the sum of its proper divisors (39745427670).

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

22024142010 is a wasteful number, since it uses less digits than its factorization.

22024142010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31152 (or 31149 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22024142010 its reverse (1024142022), we get a palindrome (23048284032).

The spelling of 22024142010 in words is "twenty-two billion, twenty-four million, one hundred forty-two thousand, ten".