22318464 has 192 divisors, whose sum is σ = 74615040. Its totient is φ = 5778432.

The previous prime is 22318463. The next prime is 22318469. The reversal of 22318464 is 46481322.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×22318464³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22318463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 970357 + ... + 970379.

It is an arithmetic number, because the mean of its divisors is an integer number (388620).

Almost surely, 2^22318464 is an apocalyptic number.

22318464 is a gapful number since it is divisible by the number (24) 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 22318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37307520).

22318464 is an abundant number, since it is smaller than the sum of its proper divisors (52296576).

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

22318464 is a wasteful number, since it uses less digits than its factorization.

22318464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 54 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 22318464 is about 4724.2421614477. The cubic root of 22318464 is about 281.5495045478.

Adding to 22318464 its reverse (46481322), we get a palindrome (68799786).

The spelling of 22318464 in words is "twenty-two million, three hundred eighteen thousand, four hundred sixty-four".