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212220444022212 = 223372119901228793
BaseRepresentation
bin110000010000001101101100…
…001011100001010111000100
31000211102002001122000210002010
4300100031230023201113010
5210304004432132202322
62031204420500014220
762462264303522403
oct6020155413412704
91024362048023063
10212220444022212
116169020409087a
121b9758b1391370
1391553c065b3a2
143a5974a94d63a
15198051a15c20c
hexc1036c2e15c4

212220444022212 has 96 divisors (see below), whose sum is σ = 511028406630784. Its totient is φ = 68494833792000.

The previous prime is 212220444022193. The next prime is 212220444022217.

It is a happy number.

212220444022212 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 212220444022212.

It is not an unprimeable number, because it can be changed into a prime (212220444022217) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 927450888 + ... + 927679680.

Almost surely, 2212220444022212 is an apocalyptic number.

It is an amenable number.

212220444022212 is an abundant number, since it is smaller than the sum of its proper divisors (298807962608572).

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

212220444022212 is a wasteful number, since it uses less digits than its factorization.

212220444022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238949 (or 238947 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The spelling of 212220444022212 in words is "two hundred twelve trillion, two hundred twenty billion, four hundred forty-four million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 37 74 111 148 211 222 422 444 633 844 1266 2532 7807 9901 15614 19802 23421 29703 31228 39604 46842 59406 93684 118812 228793 366337 457586 686379 732674 915172 1099011 1372758 1465348 2089111 2198022 2745516 4178222 4396044 6267333 8356444 8465341 12534666 16930682 25069332 25396023 33861364 48275323 50792046 77297107 96550646 101584092 144825969 154594214 193101292 231891321 289651938 309188428 463782642 579303876 927565284 1786186951 2265279493 3572373902 4530558986 5358560853 6795838479 7144747804 9061117972 10717121706 13591676958 21434243412 27183353916 83815341241 167630682482 251446023723 335261364964 477973973023 502892047446 955947946046 1005784094892 1433921919069 1911895892092 2867843838138 5735687676276 17685037001851 35370074003702 53055111005553 70740148007404 106110222011106 212220444022212