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212043041 = 7229372109
BaseRepresentation
bin11001010001110…
…00010100100001
3112202222220100222
430220320110201
5413240334131
633012452425
75153223200
oct1450702441
9482886328
10212043041
11a9769091
125b01a115
1334c12a72
1420239237
151393787b
hexca38521

212043041 has 36 divisors (see below), whose sum is σ = 264656700. Its totient is φ = 169174656.

The previous prime is 212043001. The next prime is 212043047. The reversal of 212043041 is 140340212.

It can be written as a sum of positive squares in 6 ways, for example, as 61465600 + 150577441 = 7840^2 + 12271^2 .

It is not a de Polignac number, because 212043041 - 214 = 212026657 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212043047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1945295 + ... + 1945403.

It is an arithmetic number, because the mean of its divisors is an integer number (7351575).

Almost surely, 2212043041 is an apocalyptic number.

It is an amenable number.

212043041 is a deficient number, since it is larger than the sum of its proper divisors (52613659).

212043041 is a wasteful number, since it uses less digits than its factorization.

212043041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 212043041 is about 14561.6977375579. The cubic root of 212043041 is about 596.3135455511.

Adding to 212043041 its reverse (140340212), we get a palindrome (352383253).

The spelling of 212043041 in words is "two hundred twelve million, forty-three thousand, forty-one".

Divisors: 1 7 29 37 49 109 203 259 763 1073 1369 1421 1813 3161 4033 5341 7511 9583 22127 28231 39701 52577 67081 116957 149221 154889 197617 277907 818699 1044547 1945349 4327409 5730893 7311829 30291863 212043041