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21220412214 = 231723163211263
BaseRepresentation
bin10011110000110101…
…011100101100110110
32000202212221122002010
4103300311130230312
5321424411142324
613425403025050
71350601346001
oct236065345466
960685848063
1021220412214
118aaa407861
12414280b186
132002498041
14105440a538
15842e89829
hex4f0d5cb36

21220412214 has 128 divisors (see below), whose sum is σ = 47582650368. Its totient is φ = 6274920960.

The previous prime is 21220412183. The next prime is 21220412221. The reversal of 21220412214 is 41221402212.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 80685847 + ... + 80686109.

It is an arithmetic number, because the mean of its divisors is an integer number (371739456).

Almost surely, 221220412214 is an apocalyptic number.

21220412214 is an abundant number, since it is smaller than the sum of its proper divisors (26362238154).

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

21220412214 is a wasteful number, since it uses less digits than its factorization.

21220412214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 21220412214 its reverse (41221402212), we get a palindrome (62441814426).

The spelling of 21220412214 in words is "twenty-one billion, two hundred twenty million, four hundred twelve thousand, two hundred fourteen".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 163 211 263 326 391 422 489 526 633 782 789 978 1173 1266 1578 2346 2771 3587 3749 4471 4853 5542 6049 7174 7498 8313 8942 9706 10761 11247 12098 13413 14559 16626 18147 21522 22494 26826 29118 34393 36294 42869 55493 63733 68786 82501 85738 102833 103179 110986 127466 128607 165002 166479 191199 205666 206358 247503 257214 308499 332958 382398 495006 584681 616998 728773 791039 943381 985987 1169362 1276339 1457546 1582078 1754043 1886762 1971974 2186319 2373117 2552678 2830143 2957961 3508086 3829017 4372638 4746234 5660286 5915922 7658034 9045359 13447663 16761779 18090718 21697763 26895326 27136077 33523558 40342989 43395526 50285337 54272154 65093289 80685978 100570674 130186578 153771103 208043257 307542206 416086514 461313309 624129771 922626618 1248259542 3536735369 7073470738 10610206107 21220412214