22018000 has 80 divisors (see below), whose sum is σ = 54259920. Its totient is φ = 8640000.

The previous prime is 22017973. The next prime is 22018037. The reversal of 22018000 is 81022.

It can be written as a sum of positive squares in 8 ways, for example, as 968256 + 21049744 = 984^2 + 4588^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201946 + ... + 202054.

It is an arithmetic number, because the mean of its divisors is an integer number (678249).

Almost surely, 2^22018000 is an apocalyptic number.

22018000 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 22018000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27129960).

22018000 is an abundant number, since it is smaller than the sum of its proper divisors (32241920).

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

22018000 is a wasteful number, since it uses less digits than its factorization.

22018000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 22018000 is about 4692.3341739480. The cubic root of 22018000 is about 280.2803314879.

Adding to 22018000 its reverse (81022), we get a palindrome (22099022).

It can be divided in two parts, 2201 and 8000, that added together give a palindrome (10201).

The spelling of 22018000 in words is "twenty-two million, eighteen thousand".