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212411749 = 1123534973
BaseRepresentation
bin11001010100100…
…10010101100101
3112210200122010211
430222102111211
5413334133444
633024415421
75156320144
oct1452222545
9483618124
10212411749
11a99a0100
125b177571
1335011834
14202d375b
15139abc34
hexca92565

212411749 has 12 divisors (see below), whose sum is σ = 234185868. Its totient is φ = 192515840.

The previous prime is 212411729. The next prime is 212411767. The reversal of 212411749 is 947114212.

It can be written as a sum of positive squares in 2 ways, for example, as 112211649 + 100200100 = 10593^2 + 10010^2 .

It is not a de Polignac number, because 212411749 - 221 = 210314597 is a prime.

It is a super-2 number, since 2×2124117492 = 90237502226478002, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212411749.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212411729) 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 11 ways as a sum of consecutive naturals, for example, 40227 + ... + 45199.

It is an arithmetic number, because the mean of its divisors is an integer number (19515489).

Almost surely, 2212411749 is an apocalyptic number.

It is an amenable number.

212411749 is a deficient number, since it is larger than the sum of its proper divisors (21774119).

212411749 is a wasteful number, since it uses less digits than its factorization.

212411749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5348 (or 5337 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 212411749 is about 14574.3524384447. The cubic root of 212411749 is about 596.6589758310.

The spelling of 212411749 in words is "two hundred twelve million, four hundred eleven thousand, seven hundred forty-nine".

Divisors: 1 11 121 353 3883 4973 42713 54703 601733 1755469 19310159 212411749