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2002022320200 = 2335271921320421
BaseRepresentation
bin11101001000100001110…
…101000100100001001000
321002101120101012100202020
4131020201311010201020
5230300120203221300
64131414422204440
7264432656641230
oct35104165044110
97071511170666
102002022320200
117020644529a1
12284009283720
13116a36524c46
146cc812b8cc0
15371257ed8a0
hex1d221d44848

2002022320200 has 288 divisors, whose sum is σ = 7485842036160. Its totient is φ = 433520294400.

The previous prime is 2002022320189. The next prime is 2002022320201. The reversal of 2002022320200 is 20232202002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2002022320200.

It is not an unprimeable number, because it can be changed into a prime (2002022320201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 855990 + ... + 2176410.

It is an arithmetic number, because the mean of its divisors is an integer number (25992507070).

Almost surely, 22002022320200 is an apocalyptic number.

2002022320200 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 2002022320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742921018080).

2002022320200 is an abundant number, since it is smaller than the sum of its proper divisors (5483819715960).

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

2002022320200 is a wasteful number, since it uses less digits than its factorization.

2002022320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320485 (or 1320457 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 2002022320200 its reverse (20232202002), we get a palindrome (2022254522202).

The spelling of 2002022320200 in words is "two trillion, two billion, twenty-two million, three hundred twenty thousand, two hundred".