22262251968 has 252 divisors, whose sum is σ = 73475853048. Its totient is φ = 6390420480.

The previous prime is 22262251967. The next prime is 22262252059. The reversal of 22262251968 is 86915226222.

It is a happy number.

22262251968 is a `hidden beast` number, since 2 + 2 + 2 + 622 + 5 + 19 + 6 + 8 = 666.

It is a super-3 number, since 3×22262251968³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22262251967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2282430 + ... + 2292162.

Almost surely, 2^22262251968 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 22262251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36737926524).

22262251968 is an abundant number, since it is smaller than the sum of its proper divisors (51213601080).

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

22262251968 is a wasteful number, since it uses less digits than its factorization.

22262251968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9800 (or 9768 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 22262251968 in words is "twenty-two billion, two hundred sixty-two million, two hundred fifty-one thousand, nine hundred sixty-eight".