22364064 has 144 divisors (see below), whose sum is σ = 69058080. Its totient is φ = 6842880.

The previous prime is 22364059. The next prime is 22364087. The reversal of 22364064 is 46046322.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333759 + ... + 333825.

It is an arithmetic number, because the mean of its divisors is an integer number (479570).

Almost surely, 2^22364064 is an apocalyptic number.

22364064 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 22364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34529040).

22364064 is an abundant number, since it is smaller than the sum of its proper divisors (46694016).

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

22364064 is a wasteful number, since it uses less digits than its factorization.

22364064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 22364064 is about 4729.0658697041. The cubic root of 22364064 is about 281.7411235222.

The spelling of 22364064 in words is "twenty-two million, three hundred sixty-four thousand, sixty-four".