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230214124098 = 23273781160889
BaseRepresentation
bin1101011001100111010…
…1001100001001000010
3211000020000111012220200
43112121311030021002
512232434303432343
6253431531350030
722426630524240
oct3263165141102
9730200435820
10230214124098
11896a69648a2
123874a2b2316
131892ab7530a
14b1dcb47790
155ec5c974d3
hex3599d4c242

230214124098 has 96 divisors (see below), whose sum is σ = 586192414080. Its totient is φ = 63917786880.

The previous prime is 230214124081. The next prime is 230214124109. The reversal of 230214124098 is 890421412032.

230214124098 is a `hidden beast` number, since 2 + 30 + 214 + 1 + 2 + 409 + 8 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3750438 + ... + 3811326.

It is an arithmetic number, because the mean of its divisors is an integer number (6106170980).

Almost surely, 2230214124098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230214124098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293096207040).

230214124098 is an abundant number, since it is smaller than the sum of its proper divisors (355978289982).

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

230214124098 is a wasteful number, since it uses less digits than its factorization.

230214124098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61752 (or 61749 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 230214124098 in words is "two hundred thirty billion, two hundred fourteen million, one hundred twenty-four thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 811 1554 1622 2331 2433 4662 4866 5677 7299 11354 14598 17031 30007 34062 51093 60014 60889 90021 102186 121778 180042 182667 210049 270063 365334 420098 426223 540126 548001 630147 852446 1096002 1260294 1278669 1890441 2252893 2557338 3780882 3836007 4505786 6758679 7672014 13517358 15770251 20276037 31540502 40552074 47310753 49380979 94621506 98761958 141932259 148142937 283864518 296285874 345666853 444428811 691333706 888857622 1037000559 1827096223 2074001118 3111001677 3654192446 5481288669 6222003354 10962577338 12789673561 16443866007 25579347122 32887732014 38369020683 76738041366 115107062049 230214124098