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230251385430 = 233511194080301
BaseRepresentation
bin1101011001110000001…
…1010101001001010110
3211000022121121021212000
43112130003111021112
512233023323313210
6253435342140130
722430562324663
oct3263403251126
9730277537760
10230251385430
11897159a4890
123875a881646
13189357c0441
14b203a86a6a
155ec91a7ac0
hex359c0d5256

230251385430 has 128 divisors (see below), whose sum is σ = 705076185600. Its totient is φ = 52880688000.

The previous prime is 230251385417. The next prime is 230251385459. The reversal of 230251385430 is 34583152032.

230251385430 is a `hidden beast` number, since 2 + 30 + 2 + 51 + 38 + 543 + 0 = 666.

230251385430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1983721 + ... + 2096580.

It is an arithmetic number, because the mean of its divisors is an integer number (5508407700).

Almost surely, 2230251385430 is an apocalyptic number.

230251385430 is an abundant number, since it is smaller than the sum of its proper divisors (474824800170).

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

230251385430 is a wasteful number, since it uses less digits than its factorization.

230251385430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080347 (or 4080341 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 230251385430 in words is "two hundred thirty billion, two hundred fifty-one million, three hundred eighty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 27 30 33 38 45 54 55 57 66 90 95 99 110 114 135 165 171 190 198 209 270 285 297 330 342 418 495 513 570 594 627 855 990 1026 1045 1254 1485 1710 1881 2090 2565 2970 3135 3762 5130 5643 6270 9405 11286 18810 28215 56430 4080301 8160602 12240903 20401505 24481806 36722709 40803010 44883311 61204515 73445418 77525719 89766622 110168127 122409030 134649933 155051438 183613545 220336254 224416555 232577157 269299866 367227090 387628595 403949799 448833110 465154314 550840635 673249665 697731471 775257190 807899598 852782909 1101681270 1162885785 1211849397 1346499330 1395462942 1705565818 2019748995 2093194413 2325771570 2423698794 2558348727 3488657355 4039497990 4186388826 4263914545 5116697454 6059246985 6977314710 7675046181 8527829090 10465972065 12118493970 12791743635 15350092362 20931944130 23025138543 25583487270 38375230905 46050277086 76750461810 115125692715 230251385430