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230124725226 = 2321110126834289
BaseRepresentation
bin1101011001010010000…
…0001010001111101010
3210222222210021021201100
43112110200022033222
512232243412201401
6253415015302230
722424463614154
oct3262440121752
9728883237640
10230124725226
1189660454130
123872437a976
13189154a3b86
14b1d0d15ad4
155ebced8b86
hex359480a3ea

230124725226 has 96 divisors (see below), whose sum is σ = 549649488960. Its totient is φ = 69002496000.

The previous prime is 230124725183. The next prime is 230124725227. The reversal of 230124725226 is 622527421032.

230124725226 is a `hidden beast` number, since 2 + 3 + 0 + 124 + 7 + 2 + 522 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (230124725227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53652490 + ... + 53656778.

It is an arithmetic number, because the mean of its divisors is an integer number (5725515510).

Almost surely, 2230124725226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230124725226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274824744480).

230124725226 is an abundant number, since it is smaller than the sum of its proper divisors (319524763734).

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

230124725226 is a wasteful number, since it uses less digits than its factorization.

230124725226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7092 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 230124725226 in words is "two hundred thirty billion, one hundred twenty-four million, seven hundred twenty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 606 909 1111 1818 2222 2683 3333 4289 5366 6666 8049 8578 9999 12867 16098 19998 24147 25734 29513 38601 47179 48294 59026 77202 88539 94358 141537 177078 265617 270983 283074 424611 433189 531234 541966 812949 849222 866378 1299567 1625898 2438847 2599134 2980813 3898701 4765079 4877694 5961626 7797402 8942439 9530158 11507387 14295237 17884878 23014774 26827317 28590474 34522161 42885711 53654634 69044322 85771422 103566483 126581257 207132966 253162514 379743771 759487542 1139231313 1162246087 2278462626 2324492174 3486738261 6973476522 10460214783 12784706957 20920429566 25569413914 38354120871 76708241742 115062362613 230124725226