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228535530960384 = 2932318911555153
BaseRepresentation
bin110011111101101000010011…
…001001000011011000000000
31002222011210011002110110222200
4303331220103021003120000
5214423311231411213014
62130015435030433200
766065101334404164
oct6375502311033000
91088153132413880
10228535530960384
116690041335548a
122176b872b02800
139a69a6751073b
144061270584ca4
151b64b00e80a09
hexcfda13243600

228535530960384 has 120 divisors (see below), whose sum is σ = 659590122223032. Its totient is φ = 76176072622080.

The previous prime is 228535530960329. The next prime is 228535530960389. The reversal of 228535530960384 is 483069035535822.

228535530960384 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 3 + 5 + 530 + 9 + 60 + 38 + 4 = 666.

It is a super-3 number, since 3×2285355309603843 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228535530960389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146176152 + ... + 147731304.

Almost surely, 2228535530960384 is an apocalyptic number.

228535530960384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228535530960384 is an abundant number, since it is smaller than the sum of its proper divisors (431054591262648).

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

228535530960384 is a wasteful number, since it uses less digits than its factorization.

228535530960384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587068 (or 1587049 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 63.

The spelling of 228535530960384 in words is "two hundred twenty-eight trillion, five hundred thirty-five billion, five hundred thirty million, nine hundred sixty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 31891 63782 95673 127564 191346 255128 287019 382692 510256 574038 765384 1020512 1148076 1530768 1555153 2041024 2296152 3061536 3110306 4082048 4592304 4665459 6123072 6220612 8164096 9184608 9330918 12246144 12441224 13996377 16328192 18369216 18661836 24492288 24882448 27992754 36738432 37323672 48984576 49764896 55985508 73476864 74647344 99529792 111971016 146953728 149294688 199059584 223942032 298589376 398119168 447884064 597178752 796238336 895768128 1194357504 1791536256 2388715008 3583072512 7166145024 49595384323 99190768646 148786152969 198381537292 297572305938 396763074584 446358458907 595144611876 793526149168 892716917814 1190289223752 1587052298336 1785433835628 2380578447504 3174104596672 3570867671256 4761156895008 6348209193344 7141735342512 9522313790016 12696418386688 14283470685024 19044627580032 25392836773376 28566941370048 38089255160064 57133882740096 76178510320128 114267765480192 228535530960384