22310022312 has 192 divisors, whose sum is σ = 63662274000. Its totient is φ = 7050903552.

The previous prime is 22310022271. The next prime is 22310022323. The reversal of 22310022312 is 21322001322.

22310022312 is a `hidden beast` number, since 22 + 310 + 0 + 22 + 312 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16766624196 + 5543398116 = 129486^2 + 74454^2 .

It is a super-3 number, since 3×22310022312³ (a number of 32 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17307364 + ... + 17308652.

Almost surely, 2^22310022312 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 22310022312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31831137000).

22310022312 is an abundant number, since it is smaller than the sum of its proper divisors (41352251688).

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

22310022312 is a wasteful number, since it uses less digits than its factorization.

22310022312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22310022312 its reverse (21322001322), we get a palindrome (43632023634).

The spelling of 22310022312 in words is "twenty-two billion, three hundred ten million, twenty-two thousand, three hundred twelve".