20022344100 has 288 divisors, whose sum is σ = 73275310080. Its totient is φ = 4642704000.

The previous prime is 20022344011. The next prime is 20022344107. The reversal of 20022344100 is 144322002.

20022344100 is a `hidden beast` number, since 2 + 0 + 0 + 223 + 441 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20022344107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 668445 + ... + 697755.

It is an arithmetic number, because the mean of its divisors is an integer number (254428160).

Almost surely, 2^20022344100 is an apocalyptic number.

20022344100 is a gapful number since it is divisible by the number (20) 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 20022344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36637655040).

20022344100 is an abundant number, since it is smaller than the sum of its proper divisors (53252965980).

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

20022344100 is a wasteful number, since it uses less digits than its factorization.

20022344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29368 (or 29355 counting only the distinct ones).

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

Adding to 20022344100 its reverse (144322002), we get a palindrome (20166666102).

The spelling of 20022344100 in words is "twenty billion, twenty-two million, three hundred forty-four thousand, one hundred".