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212440401 = 347933199
BaseRepresentation
bin11001010100110…
…01010101010001
3112210202002110000
430222121111101
5413341043101
633025200213
75156466525
oct1452312521
9483662400
10212440401
11a9a0a688
125b190069
13350218a4
14202ddd85
15139b5486
hexca99551

212440401 has 20 divisors (see below), whose sum is σ = 321376000. Its totient is φ = 139829976.

The previous prime is 212440391. The next prime is 212440411. The reversal of 212440401 is 104044212.

212440401 is a `hidden beast` number, since 21 + 244 + 0 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (212440391) and next prime (212440411).

It is not a de Polignac number, because 212440401 - 29 = 212439889 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (212440411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10201 + ... + 22998.

It is an arithmetic number, because the mean of its divisors is an integer number (16068800).

Almost surely, 2212440401 is an apocalyptic number.

It is an amenable number.

212440401 is a deficient number, since it is larger than the sum of its proper divisors (108935599).

212440401 is an equidigital number, since it uses as much as digits as its factorization.

212440401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33290 (or 33281 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212440401 is about 14575.3353649239. The cubic root of 212440401 is about 596.6858021945.

Adding to 212440401 its reverse (104044212), we get a palindrome (316484613).

The spelling of 212440401 in words is "two hundred twelve million, four hundred forty thousand, four hundred one".

Divisors: 1 3 9 27 79 81 237 711 2133 6399 33199 99597 298791 896373 2622721 2689119 7868163 23604489 70813467 212440401