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230000614421706 = 23329223112191489
BaseRepresentation
bin110100010010111100110000…
…111010111011010011001010
31010011100211210021110200012000
4310102330300322323103022
5220121312224242443311
62133100453521531430
766305665431346662
oct6422746072732312
91104324707420160
10230000614421706
1167315792812537
12219677b04a3b76
139b44c70aa606b
1440b213682d1a2
151b8cc9cc84056
hexd12f30ebb4ca

230000614421706 has 96 divisors (see below), whose sum is σ = 529574084457600. Its totient is φ = 73991121684480.

The previous prime is 230000614421603. The next prime is 230000614421717. The reversal of 230000614421706 is 607124416000032.

230000614421706 is a `hidden beast` number, since 2 + 30 + 0 + 0 + 0 + 614 + 4 + 2 + 1 + 7 + 0 + 6 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103856010 + ... + 106047498.

It is an arithmetic number, because the mean of its divisors is an integer number (5516396713100).

Almost surely, 2230000614421706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230000614421706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264787042228800).

230000614421706 is an abundant number, since it is smaller than the sum of its proper divisors (299573470035894).

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

230000614421706 is a wasteful number, since it uses less digits than its factorization.

230000614421706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193869 (or 2193834 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 230000614421706 in words is "two hundred thirty trillion, six hundred fourteen million, four hundred twenty-one thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 841 1566 1682 2311 2523 4622 5046 6933 7569 13866 15138 20799 22707 41598 45414 62397 67019 124794 134038 201057 402114 603171 1206342 1809513 1943551 2191489 3619026 3887102 4382978 5830653 6574467 11661306 13148934 17491959 19723401 34983918 39446802 52475877 59170203 63553181 104951754 118340406 127106362 190659543 381319086 571978629 1143957258 1715935887 1843042249 3431871774 3686084498 5064531079 5529126747 10129062158 11058253494 15193593237 16587380241 30387186474 33174760482 45580779711 49762140723 91161559422 99524281446 136742339133 146871401291 273484678266 293742802582 440614203873 881228407746 1321842611619 2643685223238 3965527834857 4259270637439 7931055669714 8518541274878 12777811912317 25555623824634 38333435736951 76666871473902 115000307210853 230000614421706