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2171929914 = 2327112433313
BaseRepresentation
bin1000000101110101…
…0000010100111010
312121100212110201200
42001131100110322
513422003224124
6555303555030
7104552046120
oct20135202472
95540773650
102171929914
11a14aa8100
1250745ba76
13287c83c3b
14168651910
15caa24bc9
hex8175053a

2171929914 has 144 divisors (see below), whose sum is σ = 6050780736. Its totient is φ = 550851840.

The previous prime is 2171929883. The next prime is 2171929927. The reversal of 2171929914 is 4199291712.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2171929914.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 653922 + ... + 657234.

Almost surely, 22171929914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2171929914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025390368).

2171929914 is an abundant number, since it is smaller than the sum of its proper divisors (3878850822).

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

2171929914 is a wasteful number, since it uses less digits than its factorization.

2171929914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3379 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 2171929914 is about 46603.9688653230. The cubic root of 2171929914 is about 1295.0362812890.

The spelling of 2171929914 in words is "two billion, one hundred seventy-one million, nine hundred twenty-nine thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 43 63 66 77 86 99 121 126 129 154 198 231 242 258 301 363 387 462 473 602 693 726 774 847 903 946 1089 1386 1419 1694 1806 2178 2541 2709 2838 3311 3313 4257 5082 5203 5418 6622 6626 7623 8514 9933 9939 10406 15246 15609 19866 19878 23191 29799 29817 31218 36421 36443 46382 46827 59598 59634 69573 72842 72886 93654 109263 109329 139146 142459 208719 218526 218658 255101 284918 327789 327987 400873 417438 427377 510202 655578 655974 765303 801746 854754 997213 1202619 1282131 1530606 1567049 1994426 2295909 2405238 2564262 2806111 2991639 3134098 3607857 4591818 4701147 5612222 5983278 7215714 8418333 8974917 9402294 10969343 14103441 16836666 17237539 17949834 21938686 25254999 28206882 32908029 34475078 50509998 51712617 65816058 98724087 103425234 120662773 155137851 197448174 241325546 310275702 361988319 723976638 1085964957 2171929914