Search a number
-
+
229102931029104 = 243211178507981693
BaseRepresentation
bin110100000101111000101110…
…110100100010110001110000
31010001012000201011210102212200
4310011320232310202301300
5220012110300320412404
62131132233351223200
766154066130406606
oct6405705664426160
91101160634712780
10229102931029104
1166aaa009957110
1221841824077b00
139aab410258282
1440808d8d99876
151b7475dd09839
hexd05e2ed22c70

229102931029104 has 120 divisors (see below), whose sum is σ = 740602790499312. Its totient is φ = 65341299394560.

The previous prime is 229102931029033. The next prime is 229102931029153. The reversal of 229102931029104 is 401920139201922.

229102931029104 is a `hidden beast` number, since 2 + 29 + 1 + 0 + 29 + 310 + 291 + 0 + 4 = 666.

It is a super-2 number, since 2×2291029310291042 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 229102931029104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4253963919 + ... + 4254017774.

Almost surely, 2229102931029104 is an apocalyptic number.

229102931029104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

229102931029104 is an abundant number, since it is smaller than the sum of its proper divisors (511499859470208).

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

229102931029104 is a wasteful number, since it uses less digits than its factorization.

229102931029104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8507981735 (or 8507981726 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 229102931029104 in words is "two hundred twenty-nine trillion, one hundred two billion, nine hundred thirty-one million, twenty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2992 3366 4488 6732 8976 13464 26928 8507981693 17015963386 25523945079 34031926772 51047890158 68063853544 76571835237 93587798623 102095780316 136127707088 144635688781 153143670474 187175597246 204191560632 280763395869 289271377562 306287340948 374351194492 408383121264 433907066343 561526791738 578542755124 612574681896 748702388984 842290187607 867814132686 1123053583476 1157085510248 1225149363792 1301721199029 1497404777968 1590992576591 1684580375214 1735628265372 2246107166952 2314171020496 2603442398058 3181985153182 3369160750428 3471256530744 4492214333904 4772977729773 5206884796116 6363970306364 6738321500856 6942513061488 9545955459546 10413769592232 12727940612728 13476643001712 14318933189319 19091910919092 20827539184464 25455881225456 28637866378638 38183821838184 57275732757276 76367643676368 114551465514552 229102931029104