220133230240 has 192 divisors, whose sum is σ = 650867374080. Its totient is φ = 68351063040.

The previous prime is 220133230223. The next prime is 220133230249. The reversal of 220133230240 is 42032331022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (220133230249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3206191 + ... + 3274129.

It is an arithmetic number, because the mean of its divisors is an integer number (3389934240).

Almost surely, 2^220133230240 is an apocalyptic number.

220133230240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220133230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325433687040).

220133230240 is an abundant number, since it is smaller than the sum of its proper divisors (430734143840).

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

220133230240 is a wasteful number, since it uses less digits than its factorization.

220133230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68235 (or 68227 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 220133230240 its reverse (42032331022), we get a palindrome (262165561262).

The spelling of 220133230240 in words is "two hundred twenty billion, one hundred thirty-three million, two hundred thirty thousand, two hundred forty".