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220200332300000 = 255513839201889
BaseRepresentation
bin110010000100010101100010…
…100101100000111011100000
31001212122221112202122211121222
4302010111202211200323200
5212330230240032100000
62100154345224034212
764244643336651203
oct6204254245407340
91055587482584558
10220200332300000
1164187488a77488
1220844371902968
1395b3a5768b6b0
143c53a7814393a
151a6cdb1638a85
hexc84562960ee0

220200332300000 has 288 divisors, whose sum is σ = 584244884059200. Its totient is φ = 81207429120000.

The previous prime is 220200332299963. The next prime is 220200332300041. The reversal of 220200332300000 is 3233002022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1090599056 + ... + 1090800944.

It is an arithmetic number, because the mean of its divisors is an integer number (2028628069650).

Almost surely, 2220200332300000 is an apocalyptic number.

220200332300000 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 220200332300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292122442029600).

220200332300000 is an abundant number, since it is smaller than the sum of its proper divisors (364044551759200).

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

220200332300000 is an equidigital number, since it uses as much as digits as its factorization.

220200332300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202776 (or 202748 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 220200332300000 its reverse (3233002022), we get a palindrome (220203565302022).

The spelling of 220200332300000 in words is "two hundred twenty trillion, two hundred billion, three hundred thirty-two million, three hundred thousand".