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230443314304 = 277257191199
BaseRepresentation
bin1101011010011101111…
…1011110110010000000
3211000210222202021202211
43112213133132302000
512233421442024204
6253510355551504
722435412565250
oct3264737366200
9730728667684
10230443314304
1189804274895
12387b2bbb594
13189664acb18
14b221367960
155edae6a804
hex35a77dec80

230443314304 has 32 divisors (see below), whose sum is σ = 524670048000. Its totient is φ = 98761420032.

The previous prime is 230443314301. The next prime is 230443314313. The reversal of 230443314304 is 403413344032.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2304433143042 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230443314301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128594704 + ... + 128596495.

It is an arithmetic number, because the mean of its divisors is an integer number (16395939000).

Almost surely, 2230443314304 is an apocalyptic number.

It is an amenable number.

230443314304 is an abundant number, since it is smaller than the sum of its proper divisors (294226733696).

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

230443314304 is an equidigital number, since it uses as much as digits as its factorization.

230443314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257191220 (or 257191208 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 230443314304 its reverse (403413344032), we get a palindrome (633856658336).

The spelling of 230443314304 in words is "two hundred thirty billion, four hundred forty-three million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 257191199 514382398 1028764796 1800338393 2057529592 3600676786 4115059184 7201353572 8230118368 14402707144 16460236736 28805414288 32920473472 57610828576 115221657152 230443314304