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230657159120 = 245193113993499
BaseRepresentation
bin1101011011010000111…
…1001110111111010000
3211001100220010201201012
43112310033032333100
512234341213042440
6253543515230052
722443620334443
oct3266417167720
9731326121635
10230657159120
1189903a53643
1238852748328
131899b8a3a0b
14b24191165a
155eeeb0be65
hex35b43cefd0

230657159120 has 160 divisors (see below), whose sum is σ = 583296000000. Its totient is φ = 84502725120.

The previous prime is 230657159069. The next prime is 230657159143. The reversal of 230657159120 is 21951756032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65919131 + ... + 65922629.

It is an arithmetic number, because the mean of its divisors is an integer number (3645600000).

Almost surely, 2230657159120 is an apocalyptic number.

230657159120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230657159120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291648000000).

230657159120 is an abundant number, since it is smaller than the sum of its proper divisors (352638840880).

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

230657159120 is a wasteful number, since it uses less digits than its factorization.

230657159120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The spelling of 230657159120 in words is "two hundred thirty billion, six hundred fifty-seven million, one hundred fifty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 380 496 589 620 760 1178 1240 1399 1520 2356 2480 2798 2945 3499 4712 5596 5890 6995 6998 9424 11192 11780 13990 13996 17495 22384 23560 26581 27980 27992 34990 43369 47120 53162 55960 55984 66481 69980 86738 106324 108469 111920 132905 132962 139960 173476 212648 216845 216938 265810 265924 279920 332405 346952 425296 433690 433876 531620 531848 542345 664810 693904 824011 867380 867752 1063240 1063696 1084690 1329620 1648022 1734760 1735504 2060911 2126480 2169380 2659240 3296044 3469520 4120055 4121822 4338760 4895101 5318480 6592088 8240110 8243644 8677520 9790202 10304555 13184176 16480220 16487288 19580404 20609110 24475505 32960440 32974576 39160808 41218220 48951010 65920880 78321616 82436440 93006919 97902020 151748131 164872880 186013838 195804040 303496262 372027676 391608080 465034595 606992524 744055352 758740655 930069190 1213985048 1488110704 1517481310 1860138380 2427970096 2883214489 3034962620 3720276760 5766428978 6069925240 7440553520 11532857956 12139850480 14416072445 23065715912 28832144890 46131431824 57664289780 115328579560 230657159120