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213212220203224 = 231117219942128743
BaseRepresentation
bin110000011110101001010110…
…101001011010000011011000
31000221220220000012212220201201
4300132221112221122003120
5210421232111333000344
62033244201453323544
762624034402130654
oct6036512651320330
91027826005786651
10213212220203224
1161a32881967850
121bab5b591965b4
1391c7a97c0a038
143a91752aa9a64
15199b2149164d4
hexc1ea56a5a0d8

213212220203224 has 96 divisors (see below), whose sum is σ = 465606878688000. Its totient is φ = 90755421166080.

The previous prime is 213212220203209. The next prime is 213212220203261. The reversal of 213212220203224 is 422302022212312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213212220203192 and 213212220203201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16003404 + ... + 26125339.

It is an arithmetic number, because the mean of its divisors is an integer number (4850071653000).

Almost surely, 2213212220203224 is an apocalyptic number.

It is an amenable number.

213212220203224 is an abundant number, since it is smaller than the sum of its proper divisors (252394658484776).

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

213212220203224 is a wasteful number, since it uses less digits than its factorization.

213212220203224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42128993 (or 42128972 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 213212220203224 its reverse (422302022212312), we get a palindrome (635514242415536).

The spelling of 213212220203224 in words is "two hundred thirteen trillion, two hundred twelve billion, two hundred twenty million, two hundred three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 199 289 374 398 578 748 796 1156 1496 1592 2189 2312 3179 3383 4378 6358 6766 8756 12716 13532 17512 25432 27064 37213 57511 74426 115022 148852 230044 297704 460088 632621 1265242 2530484 5060968 42128743 84257486 168514972 337029944 463416173 716188631 926832346 1432377262 1853664692 2864754524 3707329384 5729509048 7878074941 8383619857 12175206727 15756149882 16767239714 24350413454 31512299764 33534479428 48700826908 63024599528 67068958856 92219818427 97401653816 133927273997 142521537569 184439636854 267854547994 285043075138 368879273708 535709095988 570086150276 737758547416 1071418191976 1140172300552 1567736913259 2422866138673 3135473826518 4845732277346 6270947653036 9691464554692 12541895306072 19382929109384 26651527525403 53303055050806 106606110101612 213212220203224