220233003322000 has 40 divisors (see below), whose sum is σ = 532523402037432. Its totient is φ = 88093201328000.

The previous prime is 220233003321997. The next prime is 220233003322039. The reversal of 220233003322000 is 223300332022.

220233003322000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23095790532864 + 197137212789136 = 4805808^2 + 14040556^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55058248831 + ... + 55058252830.

Almost surely, 2^{220233003322000} is an apocalyptic number.

220233003322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220233003322000 is an abundant number, since it is smaller than the sum of its proper divisors (312290398715432).

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

220233003322000 is a wasteful number, since it uses less digits than its factorization.

220233003322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110116501684 (or 110116501668 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 220233003322000 its reverse (223300332022), we get a palindrome (220456303654022).

The spelling of 220233003322000 in words is "two hundred twenty trillion, two hundred thirty-three billion, three million, three hundred twenty-two thousand".