Search a number
-
+
2830448335 = 5112132193147
BaseRepresentation
bin1010100010110101…
…0011011011001111
321022020222200011211
42220231103123033
521244043321320
61144510155251
7130066261651
oct25055233317
97266880154
102830448335
111222794800
1266bab2b27
1336152b300
141cbcac6d1
1511875155a
hexa8b536cf

2830448335 has 144 divisors (see below), whose sum is σ = 4486164480. Its totient is φ = 1705017600.

The previous prime is 2830448323. The next prime is 2830448339. The reversal of 2830448335 is 5338440382.

It is not a de Polignac number, because 2830448335 - 219 = 2829924047 is a prime.

It is a super-2 number, since 2×28304483352 = 16022875554208544450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830448339) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60222282 + ... + 60222328.

It is an arithmetic number, because the mean of its divisors is an integer number (31153920).

Almost surely, 22830448335 is an apocalyptic number.

2830448335 is a deficient number, since it is larger than the sum of its proper divisors (1655716145).

2830448335 is a wasteful number, since it uses less digits than its factorization.

2830448335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 2830448335 is about 53201.9579996827. The cubic root of 2830448335 is about 1414.5503505379.

The spelling of 2830448335 in words is "two billion, eight hundred thirty million, four hundred forty-eight thousand, three hundred thirty-five".

Divisors: 1 5 11 13 19 31 47 55 65 95 121 143 155 169 209 235 247 341 403 517 589 605 611 715 845 893 1045 1235 1457 1573 1705 1859 2015 2299 2585 2717 2945 3055 3211 3751 4433 4465 5239 5687 6479 6721 7285 7657 7865 7943 9295 9823 11495 11609 13585 16027 16055 18755 18941 20449 22165 26195 27683 28435 29887 32395 33605 35321 38285 39715 48763 49115 57629 58045 71269 73931 80135 84227 87373 94705 99541 102245 108053 127699 138415 149435 150917 176297 176605 208351 243815 246233 288145 304513 356345 359879 369655 388531 421135 436865 497705 540265 633919 638495 754585 881485 926497 961103 1041755 1094951 1231165 1404689 1522565 1660087 1799395 1942655 2291861 2708563 3169595 3349643 3958669 4632485 4678427 4805515 5474755 7023445 8300435 11459305 12044461 13542815 16748215 18260957 19793345 23392135 29794193 43545359 51462697 60222305 91304785 148970965 217726795 257313485 566089667 2830448335