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230441165856 = 25321172740267
BaseRepresentation
bin1101011010011101011…
…1010010010000100000
3211000210211201010122200
43112213113102100200
512233420414301411
6253510241533200
722435355406456
oct3264727222040
9730724633580
10230441165856
1189803037710
12387b2344200
1318965c09c55
14b220d689d6
155edab93e56
hex35a75d2420

230441165856 has 72 divisors (see below), whose sum is σ = 714891353904. Its totient is φ = 69830655360.

The previous prime is 230441165803. The next prime is 230441165879. The reversal of 230441165856 is 658561144032.

230441165856 is a `hidden beast` number, since 23 + 0 + 4 + 41 + 1 + 6 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36366966 + ... + 36373301.

It is an arithmetic number, because the mean of its divisors is an integer number (9929046582).

Almost surely, 2230441165856 is an apocalyptic number.

It is an amenable number.

230441165856 is an abundant number, since it is smaller than the sum of its proper divisors (484450188048).

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

230441165856 is a wasteful number, since it uses less digits than its factorization.

230441165856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72740294 (or 72740283 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 230441165856 in words is "two hundred thirty billion, four hundred forty-one million, one hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 72740267 145480534 218220801 290961068 436441602 581922136 654662403 800142937 872883204 1163844272 1309324806 1600285874 1745766408 2327688544 2400428811 2618649612 3200571748 3491532816 4800857622 5237299224 6401143496 6983065632 7201286433 9601715244 10474598448 12802286992 14402572866 19203430488 20949196896 25604573984 28805145732 38406860976 57610291464 76813721952 115220582928 230441165856