22418000 has 80 divisors (see below), whose sum is σ = 59192640. Its totient is φ = 8144000.

The previous prime is 22417987. The next prime is 22418003. The reversal of 22418000 is 81422.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22418000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22418003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21491 + ... + 22509.

It is an arithmetic number, because the mean of its divisors is an integer number (739908).

Almost surely, 2^22418000 is an apocalyptic number.

22418000 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 22418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29596320).

22418000 is an abundant number, since it is smaller than the sum of its proper divisors (36774640).

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

22418000 is a wasteful number, since it uses less digits than its factorization.

22418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 22418000 is about 4734.7650416890. The cubic root of 22418000 is about 281.9674358387.

Adding to 22418000 its reverse (81422), we get a palindrome (22499422).

The spelling of 22418000 in words is "twenty-two million, four hundred eighteen thousand".