Search a number
-
+
229166666910 = 23454347139991
BaseRepresentation
bin1101010101101101100…
…1011101010010011110
3210220112000111212210000
43111123121131102132
512223313131320120
6253135552555130
722361651346216
oct3253331352236
9726460455700
10229166666910
11892096777a5
12384b7552aa6
13187c1b6026c
14b13d9a5246
155e63d3e990
hex355b65d49e

229166666910 has 160 divisors (see below), whose sum is σ = 643954240512. Its totient is φ = 58419506880.

The previous prime is 229166666851. The next prime is 229166666959. The reversal of 229166666910 is 19666661922.

It is a super-2 number, since 2×2291666669102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1567015 + ... + 1707005.

Almost surely, 2229166666910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229166666910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321977120256).

229166666910 is an abundant number, since it is smaller than the sum of its proper divisors (414787573602).

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

229166666910 is a wasteful number, since it uses less digits than its factorization.

229166666910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140100 (or 140091 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 229166666910 in words is "two hundred twenty-nine billion, one hundred sixty-six million, six hundred sixty-six thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 47 54 81 86 90 94 129 135 141 162 215 235 258 270 282 387 405 423 430 470 645 705 774 810 846 1161 1269 1290 1410 1935 2021 2115 2322 2538 3483 3807 3870 4042 4230 5805 6063 6345 6966 7614 10105 11610 12126 12690 17415 18189 19035 20210 30315 34830 36378 38070 54567 60630 90945 109134 139991 163701 181890 272835 279982 327402 419973 545670 699955 818505 839946 1259919 1399910 1637010 2099865 2519838 3779757 4199730 6019613 6299595 6579577 7559514 11339271 12039226 12599190 13159154 18058839 18898785 19738731 22678542 30098065 32897885 36117678 37797570 39477462 54176517 56696355 59216193 60196130 65795770 90294195 98693655 108353034 113392710 118432386 162529551 177648579 180588390 197387310 270882585 282921811 296080965 325059102 355297158 487588653 532945737 541765170 565843622 592161930 812647755 848765433 888242895 975177306 1065891474 1414609055 1625295510 1697530866 1776485790 2437943265 2546296299 2664728685 2829218110 4243827165 4875886530 5092592598 5329457370 7638888897 8487654330 12731481495 15277777794 22916666691 25462962990 38194444485 45833333382 76388888970 114583333455 229166666910