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212412042 = 232173773257
BaseRepresentation
bin11001010100100…
…10011010001010
3112210200122112200
430222102122022
5413334141132
633024421030
75156321043
oct1452223212
9483618480
10212412042
11a99a0347
125b177776
13350119cb
14202d38ca
15139abd7c
hexca9268a

212412042 has 96 divisors (see below), whose sum is σ = 509298192. Its totient is φ = 63700992.

The previous prime is 212412019. The next prime is 212412073. The reversal of 212412042 is 240214212.

212412042 is a `hidden beast` number, since 212 + 412 + 0 + 42 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 211964481 + 447561 = 14559^2 + 669^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826378 + ... + 826634.

Almost surely, 2212412042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212412042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254649096).

212412042 is an abundant number, since it is smaller than the sum of its proper divisors (296886150).

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

212412042 is a wasteful number, since it uses less digits than its factorization.

212412042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 389 counting only the distinct ones).

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

The square root of 212412042 is about 14574.3624903458. The cubic root of 212412042 is about 596.6592501740.

Adding to 212412042 its reverse (240214212), we get a palindrome (452626254).

The spelling of 212412042 in words is "two hundred twelve million, four hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 37 51 73 74 102 111 146 153 219 222 257 306 333 438 514 629 657 666 771 1241 1258 1314 1542 1887 2313 2482 2701 3723 3774 4369 4626 5402 5661 7446 8103 8738 9509 11169 11322 13107 16206 18761 19018 22338 24309 26214 28527 37522 39321 45917 48618 56283 57054 78642 85581 91834 112566 137751 161653 168849 171162 275502 318937 323306 337698 413253 484959 637874 694157 826506 956811 969918 1388314 1454877 1913622 2082471 2870433 2909754 4164942 5740866 6247413 11800669 12494826 23601338 35402007 70804014 106206021 212412042