22105511000 has 256 divisors, whose sum is σ = 56213913600. Its totient is φ = 8116416000.

The previous prime is 22105510997. The next prime is 22105511003. The reversal of 22105511000 is 11550122.

It is an interprime number because it is at equal distance from previous prime (22105510997) and next prime (22105511003).

It is a super-2 number, since 2×22105511000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22105511000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22105511003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60232817 + ... + 60233183.

It is an arithmetic number, because the mean of its divisors is an integer number (219585600).

Almost surely, 2^22105511000 is an apocalyptic number.

22105511000 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 22105511000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28106956800).

22105511000 is an abundant number, since it is smaller than the sum of its proper divisors (34108402600).

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

22105511000 is a wasteful number, since it uses less digits than its factorization.

22105511000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The spelling of 22105511000 in words is "twenty-two billion, one hundred five million, five hundred eleven thousand".