22284288 has 192 divisors, whose sum is σ = 73382400. Its totient is φ = 6635520.

The previous prime is 22284239. The next prime is 22284299. The reversal of 22284288 is 88248222.

22284288 is a `hidden beast` number, since 2 + 228 + 428 + 8 = 666.

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

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718833 + ... + 718863.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 2^22284288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22284288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691200).

22284288 is an abundant number, since it is smaller than the sum of its proper divisors (51098112).

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

22284288 is a wasteful number, since it uses less digits than its factorization.

22284288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 49 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 22284288 is about 4720.6236876074. The cubic root of 22284288 is about 281.4057199887.

The spelling of 22284288 in words is "twenty-two million, two hundred eighty-four thousand, two hundred eighty-eight".