22322013203232 has 288 divisors, whose sum is σ = 67837884162048. Its totient is φ = 6947285925888.

The previous prime is 22322013203219. The next prime is 22322013203233. The reversal of 22322013203232 is 23230231022322.

22322013203232 is a `hidden beast` number, since 2 + 2 + 3 + 220 + 1 + 3 + 203 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×22322013203232³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22322013203196 and 22322013203205.

It is not an unprimeable number, because it can be changed into a prime (22322013203233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46666593 + ... + 47142495.

It is an arithmetic number, because the mean of its divisors is an integer number (235548208896).

Almost surely, 2^{22322013203232} 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 22322013203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33918942081024).

22322013203232 is an abundant number, since it is smaller than the sum of its proper divisors (45515870958816).

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

22322013203232 is a wasteful number, since it uses less digits than its factorization.

22322013203232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476112 (or 476101 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 22322013203232 its reverse (23230231022322), we get a palindrome (45552244225554).

The spelling of 22322013203232 in words is "twenty-two trillion, three hundred twenty-two billion, thirteen million, two hundred three thousand, two hundred thirty-two".