22117000 has 64 divisors (see below), whose sum is σ = 54840240. Its totient is φ = 8320000.

The previous prime is 22116989. The next prime is 22117003. The reversal of 22117000 is 71122.

It can be written as a sum of positive squares in 8 ways, for example, as 45796 + 22071204 = 214^2 + 4698^2 .

It is not an unprimeable number, because it can be changed into a prime (22117003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16350 + ... + 17650.

Almost surely, 2^22117000 is an apocalyptic number.

22117000 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 22117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27420120).

22117000 is an abundant number, since it is smaller than the sum of its proper divisors (32723240).

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

22117000 is a wasteful number, since it uses less digits than its factorization.

22117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 22117000 is about 4702.8714632658. The cubic root of 22117000 is about 280.6997802538.

Adding to 22117000 its reverse (71122), we get a palindrome (22188122).

The spelling of 22117000 in words is "twenty-two million, one hundred seventeen thousand".