22364000 has 48 divisors (see below), whose sum is σ = 54958176. Its totient is φ = 8944000.

The previous prime is 22363967. The next prime is 22364053. The reversal of 22364000 is 46322.

It is a self number, because there is not a number n which added to its sum of digits gives 22364000.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1205 + ... + 6795.

It is an arithmetic number, because the mean of its divisors is an integer number (1144962).

Almost surely, 2^22364000 is an apocalyptic number.

22364000 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 22364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27479088).

22364000 is an abundant number, since it is smaller than the sum of its proper divisors (32594176).

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

22364000 is an equidigital number, since it uses as much as digits as its factorization.

22364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 22364000 is about 4729.0591030352. The cubic root of 22364000 is about 281.7408547659.

The spelling of 22364000 in words is "twenty-two million, three hundred sixty-four thousand".