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230308907688 = 233429119310273
BaseRepresentation
bin1101011001111101111…
…0110000101010101000
3211000110121211201120000
43112133132300222220
512233133040021223
6253445155103000
722432161262236
oct3263736605250
9730417751500
10230308907688
1189745413142
1238775ba1a60
13189446b0692
14b20b57b956
155ece26b543
hex359f7b0aa8

230308907688 has 160 divisors (see below), whose sum is σ = 667946644200. Its totient is φ = 74053066752.

The previous prime is 230308907677. The next prime is 230308907713. The reversal of 230308907688 is 886709803032.

It can be written as a sum of positive squares in 4 ways, for example, as 173503905444 + 56805002244 = 416538^2 + 238338^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22413720 + ... + 22423992.

Almost surely, 2230308907688 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 230308907688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333973322100).

230308907688 is an abundant number, since it is smaller than the sum of its proper divisors (437637736512).

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

230308907688 is a wasteful number, since it uses less digits than its factorization.

230308907688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11513 (or 11500 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 230308907688 in words is "two hundred thirty billion, three hundred eight million, nine hundred seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1193 1566 2088 2349 2386 3132 3579 4698 4772 6264 7158 9396 9544 10273 10737 14316 18792 20546 21474 28632 30819 32211 34597 41092 42948 61638 64422 69194 82184 85896 92457 96633 103791 123276 128844 138388 184914 193266 207582 246552 257688 276776 277371 297917 311373 369828 386532 415164 554742 595834 622746 739656 773064 830328 832113 893751 934119 1109484 1191668 1245492 1664226 1787502 1868238 2218968 2383336 2490984 2681253 2802357 3328452 3575004 3736476 5362506 5604714 6656904 7150008 7472952 8043759 10725012 11209428 12255689 16087518 21450024 22418856 24131277 24511378 32175036 36767067 48262554 49022756 64350072 73534134 96525108 98045512 110301201 147068268 193050216 220602402 294136536 330903603 355414981 441204804 661807206 710829962 882409608 992710809 1066244943 1323614412 1421659924 1985421618 2132489886 2647228824 2843319848 3198734829 3970843236 4264979772 6397469658 7941686472 8529959544 9596204487 12794939316 19192408974 25589878632 28788613461 38384817948 57577226922 76769635896 115154453844 230308907688