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230002403312 = 241117194439133
BaseRepresentation
bin1101011000110100110…
…1100010011111110000
3210222200021002200121002
43112031031202133300
512232021103401222
6253354525421132
722421450112413
oct3261515423760
9728607080532
10230002403312
11895a83a6940
12386ab40a7a8
13188c6046146
14b1bc993b7a
155eb23c5392
hex358d3627f0

230002403312 has 160 divisors (see below), whose sum is σ = 543112024320. Its totient is φ = 92997365760.

The previous prime is 230002403291. The next prime is 230002403341. The reversal of 230002403312 is 213304200032.

It is a super-2 number, since 2×2300024033122 (a number of 24 digits) contains 22 as substring.

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, 25179098 + ... + 25188230.

It is an arithmetic number, because the mean of its divisors is an integer number (3394450152).

Almost surely, 2230002403312 is an apocalyptic number.

230002403312 is a gapful number since it is divisible by the number (22) 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 230002403312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271556012160).

230002403312 is an abundant number, since it is smaller than the sum of its proper divisors (313109621008).

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

230002403312 is a wasteful number, since it uses less digits than its factorization.

230002403312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9631 (or 9625 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 230002403312 its reverse (213304200032), we get a palindrome (443306603344).

The spelling of 230002403312 in words is "two hundred thirty billion, two million, four hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 272 304 323 374 418 443 646 748 836 886 1292 1496 1672 1772 2584 2992 3344 3544 3553 4873 5168 7088 7106 7531 8417 9133 9746 14212 15062 16834 18266 19492 28424 30124 33668 36532 38984 56848 60248 67336 73064 77968 82841 92587 100463 120496 134672 143089 146128 155261 165682 173527 185174 200926 286178 310522 331364 347054 370348 401852 572356 621044 662728 694108 740696 803704 1144712 1242088 1325456 1388216 1481392 1573979 1607408 1707871 1908797 2289424 2484176 2776432 2949959 3147958 3415742 3817594 4045919 5899918 6295916 6831484 7635188 8091838 11799836 12591832 13662968 15270376 16183676 23599672 25183664 27325936 30540752 32367352 32449549 44505109 47199344 64734704 64899098 68780623 76872461 89010218 129798196 137561246 153744922 178020436 259596392 275122492 307489844 356040872 519192784 550244984 614979688 712081744 756586853 845597071 1100489968 1229959376 1306831837 1513173706 1691194142 2613663674 3026347412 3382388284 5227327348 6052694824 6764776568 10454654696 12105389648 13529553136 14375150207 20909309392 28750300414 57500600828 115001201656 230002403312