22318000 has 40 divisors (see below), whose sum is σ = 53969760. Its totient is φ = 8926400.

The previous prime is 22317983. The next prime is 22318001. The reversal of 22318000 is 81322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×22318000³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22318001) 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 7 ways as a sum of consecutive naturals, for example, 3580 + ... + 7579.

It is an arithmetic number, because the mean of its divisors is an integer number (1349244).

Almost surely, 2^22318000 is an apocalyptic number.

22318000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22318000 is an abundant number, since it is smaller than the sum of its proper divisors (31651760).

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

22318000 is a wasteful number, since it uses less digits than its factorization.

22318000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11182 (or 11166 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 22318000 is about 4724.1930527869. The cubic root of 22318000 is about 281.5475533999.

Adding to 22318000 its reverse (81322), we get a palindrome (22399322).

The spelling of 22318000 in words is "twenty-two million, three hundred eighteen thousand".