22265460630 has 448 divisors, whose sum is σ = 71745569280. Its totient is φ = 4867527168.

The previous prime is 22265460617. The next prime is 22265460647. The reversal of 22265460630 is 3606456222.

22265460630 is a `hidden beast` number, since 22 + 26 + 5 + 4 + 606 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 160183101 + ... + 160183239.

It is an arithmetic number, because the mean of its divisors is an integer number (160146360).

Almost surely, 2^22265460630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22265460630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35872784640).

22265460630 is an abundant number, since it is smaller than the sum of its proper divisors (49480108650).

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

22265460630 is a wasteful number, since it uses less digits than its factorization.

22265460630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 22265460630 in words is "twenty-two billion, two hundred sixty-five million, four hundred sixty thousand, six hundred thirty".