2163222432 has 144 divisors (see below), whose sum is σ = 7127265600. Its totient is φ = 609555456.

The previous prime is 2163222421. The next prime is 2163222437. The reversal of 2163222432 is 2342223612.

It is a happy number.

2163222432 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 222 + 432 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2163222396 and 2163222405.

It is not an unprimeable number, because it can be changed into a prime (2163222437) 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 23 ways as a sum of consecutive naturals, for example, 139819 + ... + 154517.

It is an arithmetic number, because the mean of its divisors is an integer number (49494900).

Almost surely, 2^2163222432 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 2163222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563632800).

2163222432 is an abundant number, since it is smaller than the sum of its proper divisors (4964043168).

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

2163222432 is a wasteful number, since it uses less digits than its factorization.

2163222432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14795 (or 14784 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2163222432 is about 46510.4550827016. The cubic root of 2163222432 is about 1293.3033204736.

The spelling of 2163222432 in words is "two billion, one hundred sixty-three million, two hundred twenty-two thousand, four hundred thirty-two".