22271249000 has 512 divisors, whose sum is σ = 73717862400. Its totient is φ = 6065280000.

The previous prime is 22271248991. The next prime is 22271249051. The reversal of 22271249000 is 94217222.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 19018415 + ... + 19019585.

It is an arithmetic number, because the mean of its divisors is an integer number (143980200).

Almost surely, 2^22271249000 is an apocalyptic number.

22271249000 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 22271249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36858931200).

22271249000 is an abundant number, since it is smaller than the sum of its proper divisors (51446613400).

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

22271249000 is a wasteful number, since it uses less digits than its factorization.

22271249000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 22271249000 in words is "twenty-two billion, two hundred seventy-one million, two hundred forty-nine thousand".