22146336 has 72 divisors (see below), whose sum is σ = 63567504. Its totient is φ = 7313280.

The previous prime is 22146331. The next prime is 22146337. The reversal of 22146336 is 63364122.

22146336 is a `hidden beast` number, since 2 + 21 + 4 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (22146331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37435 + ... + 38021.

It is an arithmetic number, because the mean of its divisors is an integer number (882882).

Almost surely, 2^22146336 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 22146336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31783752).

22146336 is an abundant number, since it is smaller than the sum of its proper divisors (41421168).

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

22146336 is a wasteful number, since it uses less digits than its factorization.

22146336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 723 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 22146336 is about 4705.9893752536. The cubic root of 22146336 is about 280.8238321994.

The spelling of 22146336 in words is "twenty-two million, one hundred forty-six thousand, three hundred thirty-six".