Search a number
-
+
230656180320 = 25325831119273
BaseRepresentation
bin1101011011010000101…
…1100000000001100000
3211001100211022000001100
43112310023200001200
512234340440232240
6253543442234400
722443606120006
oct3266413400140
9731324260040
10230656180320
1189903445215
1238852355a00
131899b620347
14b241738a76
155eee9b6e30
hex35b42e0060

230656180320 has 144 divisors (see below), whose sum is σ = 787249768032. Its totient is φ = 61497722880.

The previous prime is 230656180291. The next prime is 230656180343. The reversal of 230656180320 is 23081656032.

It is a happy number.

230656180320 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 5 + 618 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11958204 + ... + 11977476.

It is an arithmetic number, because the mean of its divisors is an integer number (5467012278).

Almost surely, 2230656180320 is an apocalyptic number.

230656180320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230656180320 is an abundant number, since it is smaller than the sum of its proper divisors (556593587712).

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

230656180320 is a wasteful number, since it uses less digits than its factorization.

230656180320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27605 (or 27594 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 230656180320 in words is "two hundred thirty billion, six hundred fifty-six million, one hundred eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8311 16622 19273 24933 33244 38546 41555 49866 57819 66488 74799 77092 83110 96365 99732 115638 124665 132976 149598 154184 166220 173457 192730 199464 231276 249330 265952 289095 299196 308368 332440 346914 373995 385460 398928 462552 498660 578190 598392 616736 664880 693828 747990 770920 797856 867285 925104 997320 1156380 1196784 1329760 1387656 1495980 1541840 1734570 1850208 1994640 2312760 2393568 2775312 2991960 3083680 3469140 3989280 4625520 5550624 5983920 6938280 9251040 11967840 13876560 27753120 160177903 320355806 480533709 640711612 800889515 961067418 1281423224 1441601127 1601779030 1922134836 2402668545 2562846448 2883202254 3203558060 3844269672 4805337090 5125692896 5766404508 6407116120 7208005635 7688539344 9610674180 11532809016 12814232240 14416011270 15377078688 19221348360 23065618032 25628464480 28832022540 38442696720 46131236064 57664045080 76885393440 115328090160 230656180320