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220012022200212 = 223211173741109197647
BaseRepresentation
bin110010000001100110001010…
…011011011111011110010100
31001211222221111002222121112200
4302001212022123133132110
5212314134110140401322
62055532043325044500
764225226003345004
oct6201461233373624
91054887432877480
10220012022200212
1164114635915340
12208139790b6730
13959c0771ab148
143c488d27dc004
151a6803e5cd8ac
hexc8198a6df794

220012022200212 has 576 divisors, whose sum is σ = 682045173089280. Its totient is φ = 59016779366400.

The previous prime is 220012022200151. The next prime is 220012022200213. The reversal of 220012022200212 is 212002220210022.

220012022200212 is a `hidden beast` number, since 220 + 0 + 1 + 202 + 220 + 0 + 21 + 2 = 666.

220012022200212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220012022200213) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1113057573 + ... + 1113255219.

It is an arithmetic number, because the mean of its divisors is an integer number (1184106203280).

Almost surely, 2220012022200212 is an apocalyptic number.

220012022200212 is a gapful number since it is divisible by the number (22) 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 220012022200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341022586544640).

220012022200212 is an abundant number, since it is smaller than the sum of its proper divisors (462033150889068).

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

220012022200212 is a wasteful number, since it uses less digits than its factorization.

220012022200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197872 (or 197867 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220012022200212 its reverse (212002220210022), we get a palindrome (432014242410234).

The spelling of 220012022200212 in words is "two hundred twenty trillion, twelve billion, twenty-two million, two hundred thousand, two hundred twelve".