22132512 has 144 divisors (see below), whose sum is σ = 67721472. Its totient is φ = 6842880.

The previous prime is 22132501. The next prime is 22132529. The reversal of 22132512 is 21523122.

22132512 is a `hidden beast` number, since 22 + 132 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 330303 + ... + 330369.

It is an arithmetic number, because the mean of its divisors is an integer number (470288).

Almost surely, 2^22132512 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 22132512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33860736).

22132512 is an abundant number, since it is smaller than the sum of its proper divisors (45588960).

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

22132512 is a wasteful number, since it uses less digits than its factorization.

22132512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 22132512 is about 4704.5203793798. The cubic root of 22132512 is about 280.7653888721.

Adding to 22132512 its reverse (21523122), we get a palindrome (43655634).

The spelling of 22132512 in words is "twenty-two million, one hundred thirty-two thousand, five hundred twelve".