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230646062267640 = 233253515918222461
BaseRepresentation
bin110100011100010101111000…
…100111000011110011111000
31010020122112210122110111212100
4310130111320213003303320
5220212401113420031030
62134313201021143400
766403425302461365
oct6434257047036370
91106575718414770
10230646062267640
116754449a246388
1221a509036bab60
139b90aa4368aa6
1440d54869dd46c
151b9e977a05360
hexd1c5789c3cf8

230646062267640 has 96 divisors (see below), whose sum is σ = 749621063786400. Its totient is φ = 61503863873280.

The previous prime is 230646062267611. The next prime is 230646062267671. The reversal of 230646062267640 is 46762260646032.

230646062267640 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 4 + 6 + 0 + 622 + 6 + 7 + 6 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3546010 + ... + 21768470.

It is an arithmetic number, because the mean of its divisors is an integer number (7808552747775).

Almost surely, 2230646062267640 is an apocalyptic number.

230646062267640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230646062267640 is an abundant number, since it is smaller than the sum of its proper divisors (518975001518760).

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

230646062267640 is a wasteful number, since it uses less digits than its factorization.

230646062267640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18257637 (or 18257630 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 230646062267640 in words is "two hundred thirty trillion, six hundred forty-six billion, sixty-two million, two hundred sixty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 35159 70318 105477 140636 175795 210954 281272 316431 351590 421908 527385 632862 703180 843816 1054770 1265724 1406360 1582155 2109540 2531448 3164310 4219080 6328620 12657240 18222461 36444922 54667383 72889844 91112305 109334766 145779688 164002149 182224610 218669532 273336915 328004298 364449220 437339064 546673830 656008596 728898440 820010745 1093347660 1312017192 1640021490 2186695320 3280042980 6560085960 640683506299 1281367012598 1922050518897 2562734025196 3203417531495 3844101037794 5125468050392 5766151556691 6406835062990 7688202075588 9610252594485 11532303113382 12813670125980 15376404151176 19220505188970 23064606226764 25627340251960 28830757783455 38441010377940 46129212453528 57661515566910 76882020755880 115323031133820 230646062267640