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212220222220 = 2251931110316333
BaseRepresentation
bin1100010110100101001…
…1111001101100001100
3202021202222210021221101
43011221103321230030
511434111334102340
6241254223512444
721222005061016
oct3055123715414
9667688707841
10212220222220
1182002868006
1235168158724
1317020c9b5b6
14a3b30671b6
1557c11e5c9a
hex31694f9b0c

212220222220 has 96 divisors (see below), whose sum is σ = 484719943680. Its totient is φ = 77750772480.

The previous prime is 212220222217. The next prime is 212220222223. The reversal of 212220222220 is 22222022212.

212220222220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212220222217) and next prime (212220222223).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (212220222223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12985174 + ... + 13001506.

It is an arithmetic number, because the mean of its divisors is an integer number (5049166080).

Almost surely, 2212220222220 is an apocalyptic number.

212220222220 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 212220222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242359971840).

212220222220 is an abundant number, since it is smaller than the sum of its proper divisors (272499721460).

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

212220222220 is a wasteful number, since it uses less digits than its factorization.

212220222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17495 (or 17493 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 212220222220 its reverse (22222022212), we get a palindrome (234442244432).

The spelling of 212220222220 in words is "two hundred twelve billion, two hundred twenty million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1103 1178 2206 2356 2945 4412 5515 5890 11030 11780 16333 20957 22060 32666 34193 41914 65332 68386 81665 83828 104785 136772 163330 170965 209570 310327 326660 341930 419140 506323 620654 649667 683860 1012646 1241308 1299334 1551635 2025292 2531615 2598668 3103270 3248335 5063230 6206540 6496670 9620137 10126460 12993340 18015299 19240274 36030598 38480548 48100685 72061196 90076495 96201370 180152990 192402740 342290681 360305980 558474269 684581362 1116948538 1369162724 1711453405 2233897076 2792371345 3422906810 5584742690 6845813620 10611011111 11169485380 21222022222 42444044444 53055055555 106110111110 212220222220