Search a number
-
+
230516550242622 = 233731161391218911
BaseRepresentation
bin110100011010011101010001…
…000101111001000100111110
31010020012011111201201222002000
4310122131101011321010332
5220203240343330230442
62134133501413043130
766361162002435540
oct6432352105710476
91106164451658060
10230516550242622
11674a457a070066
1221a2b79a3264a6
139b818045c8b67
1440cd0bc279690
151b9b3e7931d4c
hexd1a75117913e

230516550242622 has 128 divisors (see below), whose sum is σ = 604361922969600. Its totient is φ = 63733293439200.

The previous prime is 230516550242621. The next prime is 230516550242651. The reversal of 230516550242622 is 226242055615032.

It is a happy number.

230516550242622 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 16 + 5 + 5 + 0 + 2 + 4 + 2 + 622 = 666.

230516550242622 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230516550242621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188507347 + ... + 189726257.

It is an arithmetic number, because the mean of its divisors is an integer number (4721577523200).

Almost surely, 2230516550242622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230516550242622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302180961484800).

230516550242622 is an abundant number, since it is smaller than the sum of its proper divisors (373845372726978).

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

230516550242622 is a wasteful number, since it uses less digits than its factorization.

230516550242622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235099 (or 1235093 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 230516550242622 in words is "two hundred thirty trillion, five hundred sixteen billion, five hundred fifty million, two hundred forty-two thousand, six hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 11718 16139 32278 48417 96834 112973 145251 225946 290502 338919 435753 500309 677838 871506 1000618 1016757 1218911 1500927 2033514 2437822 3001854 3050271 3502163 3656733 4502781 6100542 7004326 7313466 8532377 9005562 10506489 10970199 13508343 17064754 21012978 21940398 25597131 27016686 31519467 32910597 37786241 51194262 63038934 65821194 75572482 76791393 94558401 113358723 153582786 189116802 226717446 230374179 264503687 340076169 460748358 529007374 680152338 793511061 1020228507 1587022122 2040457014 2380533183 4761066366 7141599549 14283199098 19672004629 39344009258 59016013887 118032027774 137704032403 177048041661 275408064806 354096083322 413112097209 531144124983 609832143499 826224194418 1062288249966 1219664286998 1239336291627 1829496430497 2478672583254 3658992860994 3718008874881 4268825004493 5488489291491 7436017749762 8537650008986 10976978582982 12806475013479 16465467874473 25612950026958 32930935748946 38419425040437 76838850080874 115258275121311 230516550242622