22268064 has 96 divisors (see below), whose sum is σ = 71971200. Its totient is φ = 5870592.

The previous prime is 22268063. The next prime is 22268069. The reversal of 22268064 is 46086222.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (22268063) 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, 7462 + ... + 10010.

It is an arithmetic number, because the mean of its divisors is an integer number (749700).

Almost surely, 2^22268064 is an apocalyptic number.

22268064 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 22268064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35985600).

22268064 is an abundant number, since it is smaller than the sum of its proper divisors (49703136).

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

22268064 is a wasteful number, since it uses less digits than its factorization.

22268064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2574 counting only the distinct ones).

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

The square root of 22268064 is about 4718.9049577206. The cubic root of 22268064 is about 281.3374112499.

It can be divided in two parts, 222 and 68064, that added together give a palindrome (68286).

The spelling of 22268064 in words is "twenty-two million, two hundred sixty-eight thousand, sixty-four".