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212222312220 = 2235191992513727
BaseRepresentation
bin1100010110100101101…
…1110111111100011100
3202021210010201110212210
43011221123313330130
511434112402442340
6241254340400420
721222031614222
oct3055133677434
9667703643783
10212222312220
1182003a65286
12351689a6110
1317021550999
14a3b344cb12
1557c14aa180
hex31696f7f1c

212222312220 has 192 divisors, whose sum is σ = 631314432000. Its totient is φ = 53117856000.

The previous prime is 212222312171. The next prime is 212222312227. The reversal of 212222312220 is 22213222212.

212222312220 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 2×2122223122202 (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 (212222312227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56939997 + ... + 56943723.

It is an arithmetic number, because the mean of its divisors is an integer number (3288096000).

Almost surely, 2212222312220 is an apocalyptic number.

212222312220 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 212222312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315657216000).

212222312220 is an abundant number, since it is smaller than the sum of its proper divisors (419092119780).

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

212222312220 is a wasteful number, since it uses less digits than its factorization.

212222312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 212222312220 its reverse (22213222212), we get a palindrome (234435534432).

The spelling of 212222312220 in words is "two hundred twelve billion, two hundred twenty-two million, three hundred twelve thousand, two hundred twenty".