22032133002 has 96 divisors (see below), whose sum is σ = 54811620864. Its totient is φ = 6576649200.

The previous prime is 22032132979. The next prime is 22032133007. The reversal of 22032133002 is 20033123022.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (22032133007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327427 + ... + 388937.

It is an arithmetic number, because the mean of its divisors is an integer number (570954384).

Almost surely, 2^22032133002 is an apocalyptic number.

22032133002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22032133002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27405810432).

22032133002 is an abundant number, since it is smaller than the sum of its proper divisors (32779487862).

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

22032133002 is a wasteful number, since it uses less digits than its factorization.

22032133002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61606 (or 61594 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22032133002 its reverse (20033123022), we get a palindrome (42065256024).

The spelling of 22032133002 in words is "twenty-two billion, thirty-two million, one hundred thirty-three thousand, two".