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212233202332212 = 223533449385325111
BaseRepresentation
bin110000010000011001100100…
…101000100111001000110100
31000211110021222210001002012010
4300100121210220213020310
5210304212044244112322
62031214330454524220
762463225413415435
oct6020314450471064
91024407883032163
10212233202332212
1161695660898a26
121b978272066670
139156674939c49
143a5a1db16348c
151980a1526c20c
hexc10664a27234

212233202332212 has 96 divisors (see below), whose sum is σ = 504851788627200. Its totient is φ = 69368704404480.

The previous prime is 212233202332189. The next prime is 212233202332241.

It is a happy number.

212233202332212 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 212233202332212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8451789537 + ... + 8451814647.

It is an arithmetic number, because the mean of its divisors is an integer number (5258872798200).

Almost surely, 2212233202332212 is an apocalyptic number.

It is an amenable number.

212233202332212 is an abundant number, since it is smaller than the sum of its proper divisors (292618586294988).

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

212233202332212 is a wasteful number, since it uses less digits than its factorization.

212233202332212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32473 (or 32471 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 21223320 and 2332212, that added together give a palindrome (23555532).

The spelling of 212233202332212 in words is "two hundred twelve trillion, two hundred thirty-three billion, two hundred two million, three hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 3449 3853 6898 7706 10347 11559 13796 15412 20694 23118 25111 41388 46236 50222 75333 100444 150666 182797 204209 301332 365594 408418 548391 612627 731188 816836 1096782 1225254 1330883 2193564 2450508 2661766 3992649 5323532 7985298 13288997 15970596 26577994 39866991 53155988 79733982 86607839 96752683 159467964 173215678 193505366 259823517 290258049 346431356 387010732 519647034 580516098 704316841 1039294068 1161032196 1408633682 2112950523 2817267364 4225901046 4590215467 5127892199 8451802092 9180430934 10255784398 13770646401 15383676597 18360861868 20511568796 27541292802 30767353194 55082585604 61534706388 333700003667 667400007334 1001100011001 1334800014668 2002200022002 4004400044004 17686100194351 35372200388702 53058300583053 70744400777404 106116601166106 212233202332212