22284864 has 84 divisors (see below), whose sum is σ = 73013824. Its totient is φ = 6365952.

The previous prime is 22284863. The next prime is 22284869. The reversal of 22284864 is 46848222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (22284863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1269 + ... + 6795.

Almost surely, 2^22284864 is an apocalyptic number.

22284864 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 22284864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36506912).

22284864 is an abundant number, since it is smaller than the sum of its proper divisors (50728960).

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

22284864 is a wasteful number, since it uses less digits than its factorization.

22284864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5539 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 22284864 is about 4720.6846961008. The cubic root of 22284864 is about 281.4081445415.

The spelling of 22284864 in words is "twenty-two million, two hundred eighty-four thousand, eight hundred sixty-four".