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220210010220000 = 2535423315751789
BaseRepresentation
bin110010000100011110100011…
…011011110110010111100000
31001212200212112020101010001110
4302010132203123312113200
5212330410100104020000
62100203025423303320
764245435223632333
oct6204364333662740
91055625466333043
10220210010220000
11641905a49a6a79
1220846212a4ab40
1395b493a719c88
143c543155c661a
151a6d27b0c5850
hexc847a36f65e0

220210010220000 has 240 divisors, whose sum is σ = 725433062674320. Its totient is φ = 58470637056000.

The previous prime is 220210010219981. The next prime is 220210010220007. The reversal of 220210010220000 is 22010012022.

220210010220000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220210010220007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6104106 + ... + 21855894.

It is an arithmetic number, because the mean of its divisors is an integer number (3022637761143).

Almost surely, 2220210010220000 is an apocalyptic number.

220210010220000 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 220210010220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362716531337160).

220210010220000 is an abundant number, since it is smaller than the sum of its proper divisors (505223052454320).

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

220210010220000 is a wasteful number, since it uses less digits than its factorization.

220210010220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15752055 (or 15752032 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220210010220000 its reverse (22010012022), we get a palindrome (220232020232022).

The spelling of 220210010220000 in words is "two hundred twenty trillion, two hundred ten billion, ten million, two hundred twenty thousand".