22054420314 has 160 divisors (see below), whose sum is σ = 54208311696. Its totient is φ = 6674503680.

The previous prime is 22054420313. The next prime is 22054420319. The reversal of 22054420314 is 41302445022.

22054420314 is a `hidden beast` number, since 2 + 205 + 4 + 420 + 31 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10169714025 + 11884706289 = 100845^2 + 109017^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22054420313) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 8902444 + ... + 8904920.

Almost surely, 2^22054420314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22054420314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27104155848).

22054420314 is an abundant number, since it is smaller than the sum of its proper divisors (32153891382).

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

22054420314 is a wasteful number, since it uses less digits than its factorization.

22054420314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22054420314 its reverse (41302445022), we get a palindrome (63356865336).

The spelling of 22054420314 in words is "twenty-two billion, fifty-four million, four hundred twenty thousand, three hundred fourteen".