22003311330 has 1152 divisors, whose sum is σ = 85830990336. Its totient is φ = 3832012800.

The previous prime is 22003311329. The next prime is 22003311377. The reversal of 22003311330 is 3311330022.

22003311330 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 331 + 1 + 330 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 536666110 + ... + 536666150.

It is an arithmetic number, because the mean of its divisors is an integer number (74506068).

Almost surely, 2^22003311330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22003311330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42915495168).

22003311330 is an abundant number, since it is smaller than the sum of its proper divisors (63827679006).

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

22003311330 is a wasteful number, since it uses less digits than its factorization.

22003311330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 22003311330 its reverse (3311330022), we get a palindrome (25314641352).

It can be divided in two parts, 22003 and 311330, that added together give a palindrome (333333).

The spelling of 22003311330 in words is "twenty-two billion, three million, three hundred eleven thousand, three hundred thirty".