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230586232368 = 243294139710177
BaseRepresentation
bin1101011011000000000…
…0101010111000110000
3211001011221200021111110
43112300000222320300
512234220033413433
6253532503113320
722442066431062
oct3266000527060
9731157607443
10230586232368
1189877a0a298
1238832a42840
1318989c9c41b
14b23632b732
155ee879b963
hex35b002ae30

230586232368 has 160 divisors (see below), whose sum is σ = 632903866560. Its totient is φ = 72212152320.

The previous prime is 230586232361. The next prime is 230586232399. The reversal of 230586232368 is 863232685032.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (230586232361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22652496 + ... + 22662672.

It is an arithmetic number, because the mean of its divisors is an integer number (3955649166).

Almost surely, 2230586232368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230586232368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316451933280).

230586232368 is an abundant number, since it is smaller than the sum of its proper divisors (402317634192).

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

230586232368 is a wasteful number, since it uses less digits than its factorization.

230586232368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10655 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 230586232368 in words is "two hundred thirty billion, five hundred eighty-six million, two hundred thirty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 41 48 58 82 87 116 123 164 174 232 246 328 348 397 464 492 656 696 794 984 1189 1191 1392 1588 1968 2378 2382 3176 3567 4756 4764 6352 7134 9512 9528 10177 11513 14268 16277 19024 19056 20354 23026 28536 30531 32554 34539 40708 46052 48831 57072 61062 65108 69078 81416 92104 97662 122124 130216 138156 162832 184208 195324 244248 260432 276312 295133 390648 417257 472033 488496 552624 590266 781296 834514 885399 944066 1180532 1251771 1416099 1669028 1770798 1888132 2361064 2503542 2832198 3338056 3541596 3776264 4040269 4722128 5007084 5664396 6676112 7083192 7552528 8080538 10014168 11328792 12100453 12120807 14166384 16161076 20028336 22657584 24200906 24241614 32322152 36301359 48401812 48483228 64644304 72602718 96803624 96966456 117167801 145205436 165651029 193607248 193932912 234335602 290410872 331302058 351503403 468671204 496953087 580821744 662604116 703006806 937342408 993906174 1325208232 1406013612 1874684816 1987812348 2650416464 2812027224 3975624696 4803879841 5624054448 7951249392 9607759682 14411639523 19215519364 28823279046 38431038728 57646558092 76862077456 115293116184 230586232368