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212230322200 = 2352131726318257
BaseRepresentation
bin1100010110100111101…
…0011011100000011000
3202021210200210102111201
43011221322123200120
511434121430302300
6241255224203544
721222156655021
oct3055172334030
9667720712451
10212230322200
11820085362a6
123516b6095b4
13170230c6810
14a3b4535c48
1557c203d66a
hex3169e9b818

212230322200 has 192 divisors, whose sum is σ = 564820724160. Its totient is φ = 73467985920.

The previous prime is 212230322147. The next prime is 212230322201. The reversal of 212230322200 is 2223032212.

212230322200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122303222002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212230322201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11615472 + ... + 11633728.

It is an arithmetic number, because the mean of its divisors is an integer number (2941774605).

Almost surely, 2212230322200 is an apocalyptic number.

212230322200 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 212230322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282410362080).

212230322200 is an abundant number, since it is smaller than the sum of its proper divisors (352590401960).

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

212230322200 is a wasteful number, since it uses less digits than its factorization.

212230322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18566 (or 18557 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 212230322200 its reverse (2223032212), we get a palindrome (214453354412).

The spelling of 212230322200 in words is "two hundred twelve billion, two hundred thirty million, three hundred twenty-two thousand, two hundred".