220232331000 has 1024 divisors, whose sum is σ = 899602329600. Its totient is φ = 49241088000.

The previous prime is 220232330999. The next prime is 220232331037. The reversal of 220232331000 is 133232022.

It is a happy number.

It is a super-2 number, since 2×220232331000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 267596589 + ... + 267597411.

It is an arithmetic number, because the mean of its divisors is an integer number (878517900).

Almost surely, 2^220232331000 is an apocalyptic number.

220232331000 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 220232331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449801164800).

220232331000 is an abundant number, since it is smaller than the sum of its proper divisors (679369998600).

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

220232331000 is a wasteful number, since it uses less digits than its factorization.

220232331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 914 counting only the distinct ones).

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

Adding to 220232331000 its reverse (133232022), we get a palindrome (220365563022).

The spelling of 220232331000 in words is "two hundred twenty billion, two hundred thirty-two million, three hundred thirty-one thousand".