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211222102212220 = 225112833392581147
BaseRepresentation
bin110000000001101011111010…
…010111101111111001111100
31000200212122011110210010122211
4300001223322113233321330
5210141130331131242340
62025122032202150204
762330202412251511
oct6001537227577174
91020778143703584
10211222102212220
1161335877171650
121b8343127b2364
1390b220aa90788
143a232c0827308
15196458928b5ea
hexc01afa5efe7c

211222102212220 has 48 divisors (see below), whose sum is σ = 485600495200128. Its totient is φ = 76536630653760.

The previous prime is 211222102212167. The next prime is 211222102212227. The reversal of 211222102212220 is 22212201222112.

It is a super-2 number, since 2×2112221022122202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 211222102212191 and 211222102212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222102212227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1696228314 + ... + 1696352833.

It is an arithmetic number, because the mean of its divisors is an integer number (10116676983336).

Almost surely, 2211222102212220 is an apocalyptic number.

211222102212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222102212220 is an abundant number, since it is smaller than the sum of its proper divisors (274378392987908).

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

211222102212220 is a wasteful number, since it uses less digits than its factorization.

211222102212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392581450 (or 3392581448 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 211222102212220 its reverse (22212201222112), we get a palindrome (233434303434332).

The spelling of 211222102212220 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 283 566 1132 1415 2830 3113 5660 6226 12452 15565 31130 62260 3392581147 6785162294 13570324588 16962905735 33925811470 37318392617 67851622940 74636785234 149273570468 186591963085 373183926170 746367852340 960100464601 1920200929202 3840401858404 4800502323005 9601004646010 10561105110611 19202009292020 21122210221222 42244420442444 52805525553055 105611051106110 211222102212220