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212002322220 = 22355133355529
BaseRepresentation
bin1100010101110001010…
…0101011011100101100
3202021012210202211100000
43011130110223130230
511433140043302340
6241220441304300
721213421002033
oct3053424533454
9667183684300
10212002322220
1181a00869567
1235107195090
1316cb7ab79a0
14a39214571a
1557ac002d30
hex315c52b72c

212002322220 has 144 divisors (see below), whose sum is σ = 718190796960. Its totient is φ = 52185171456.

The previous prime is 212002322153. The next prime is 212002322237. The reversal of 212002322220 is 22223200212.

212002322220 is a `hidden beast` number, since 2 + 120 + 0 + 2 + 322 + 220 = 666.

212002322220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2120023222203 (a number of 35 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 212002322193 and 212002322202.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1614585 + ... + 1740944.

It is an arithmetic number, because the mean of its divisors is an integer number (4987436090).

Almost surely, 2212002322220 is an apocalyptic number.

212002322220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002322220 is an abundant number, since it is smaller than the sum of its proper divisors (506188474740).

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

212002322220 is a wasteful number, since it uses less digits than its factorization.

212002322220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355566 (or 3355552 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 212002322220 its reverse (22223200212), we get a palindrome (234225522432).

The spelling of 212002322220 in words is "two hundred twelve billion, two million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1620 1755 2106 2340 2430 3159 3510 4212 4860 5265 6318 7020 10530 12636 15795 21060 31590 63180 3355529 6711058 10066587 13422116 16777645 20133174 30199761 33555290 40266348 43621877 50332935 60399522 67110580 87243754 90599283 100665870 120799044 130865631 150998805 174487508 181198566 201331740 218109385 261731262 271797849 301997610 362397132 392596893 436218770 452996415 523462524 543595698 603995220 654328155 785193786 815393547 872437540 905992830 1087191396 1177790679 1308656310 1358989245 1570387572 1630787094 1811985660 1962984465 2355581358 2617312620 2717978490 3261574188 3533372037 3925968930 4076967735 4711162716 5435956980 5888953395 7066744074 7851937860 8153935470 10600116111 11777906790 14133488148 16307870940 17666860185 21200232222 23555813580 35333720370 42400464444 53000580555 70667440740 106001161110 212002322220