Search a number
-
+
214014035732 = 227312295571933
BaseRepresentation
bin1100011101010000111…
…0110000011100010100
3202110102000011110110212
43013110032300130110
512001300043120412
6242152223304552
721314316201020
oct3072416603424
9673360143425
10214014035732
1182843386712
1235588a4b158
1317248803803
14a5033ad380
15587892b222
hex31d43b0714

214014035732 has 96 divisors (see below), whose sum is σ = 444791531520. Its totient is φ = 88169679360.

The previous prime is 214014035681. The next prime is 214014035747. The reversal of 214014035732 is 237530410412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110715038 + ... + 110716970.

It is an arithmetic number, because the mean of its divisors is an integer number (4633245120).

Almost surely, 2214014035732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214014035732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222395765760).

214014035732 is an abundant number, since it is smaller than the sum of its proper divisors (230777495788).

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

214014035732 is a wasteful number, since it uses less digits than its factorization.

214014035732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 214014035732 in words is "two hundred fourteen billion, fourteen million, thirty-five thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 62 124 217 229 434 458 557 868 916 1114 1603 1933 2228 3206 3866 3899 6412 7099 7732 7798 13531 14198 15596 17267 27062 28396 34534 49693 54124 59923 69068 99386 119846 120869 127553 198772 239692 241738 255106 419461 442657 483476 510212 838922 885314 892871 1076681 1677844 1770628 1785742 2153362 3098599 3571484 3954143 4306724 6197198 7536767 7908286 12394396 13722367 15073534 15816572 27444734 27679001 30147068 33377111 54889468 55358002 66754222 96056569 110716004 133508444 192113138 233639777 246559949 384226276 467279554 493119898 934559108 986239796 1725919643 3451839286 6903678572 7643358419 15286716838 30573433676 53503508933 107007017866 214014035732