220231343334002 has 288 divisors, whose sum is σ = 469931274473472. Its totient is φ = 76588031520000.

The previous prime is 220231343334001. The next prime is 220231343334053. The reversal of 220231343334002 is 200433343132022.

It is a happy number.

220231343334002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 220231343334002.

It is not an unprimeable number, because it can be changed into a prime (220231343334001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6217167263 + ... + 6217202685.

It is an arithmetic number, because the mean of its divisors is an integer number (1631705814144).

Almost surely, 2^{220231343334002} is an apocalyptic number.

220231343334002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220231343334002 is an abundant number, since it is smaller than the sum of its proper divisors (249699931139470).

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

220231343334002 is a wasteful number, since it uses less digits than its factorization.

220231343334002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36806 (or 36788 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 220231343334002 its reverse (200433343132022), we get a palindrome (420664686466024).

The spelling of 220231343334002 in words is "two hundred twenty trillion, two hundred thirty-one billion, three hundred forty-three million, three hundred thirty-four thousand, two".