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212224424422212 = 223211352169229209
BaseRepresentation
bin110000010000010001011001…
…011011100010101101000100
31000211102110100000212001101100
4300100101121123202231010
5210304041110123002322
62031210315445500100
762462465035414206
oct6020213133425504
91024373300761340
10212224424422212
11616919669a8254
121b976622411630
1391558a61a9767
143a59a07440776
15198069e80edac
hexc104596e2b44

212224424422212 has 36 divisors (see below), whose sum is σ = 541203583824540. Its totient is φ = 70115444055552.

The previous prime is 212224424422169. The next prime is 212224424422343.

212224424422212 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 2 + 4 + 424 + 4 + 2 + 221 + 2 = 666.

212224424422212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 7786644687936 + 204437779734276 = 2790456^2 + 14298174^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 26084610537 + ... + 26084618672.

It is an arithmetic number, because the mean of its divisors is an integer number (15033432884015).

Almost surely, 2212224424422212 is an apocalyptic number.

It is an amenable number.

212224424422212 is an abundant number, since it is smaller than the sum of its proper divisors (328979159402328).

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

212224424422212 is a wasteful number, since it uses less digits than its factorization.

212224424422212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52169229332 (or 52169229327 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

The spelling of 212224424422212 in words is "two hundred twelve trillion, two hundred twenty-four billion, four hundred twenty-four million, four hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 52169229209 104338458418 156507687627 208676916836 313015375254 469523062881 626030750508 939046125762 1878092251524 5895122900617 11790245801234 17685368701851 23580491602468 35370737403702 53056106105553 70741474807404 106112212211106 212224424422212