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229998085365960 = 233251150015555461
BaseRepresentation
bin110100010010111010011010…
…001011010110000011001000
31010011100121021000121022220200
4310102322122023112003020
5220121242034323202320
62133055354535252200
766305545651624422
oct6422723213260310
91104317230538820
10229998085365960
116731470517351a
122196720551a060
139b44959b42682
1440b1d769b7812
151b8cba0c19290
hexd12e9a2d60c8

229998085365960 has 96 divisors (see below), whose sum is σ = 747500411881080. Its totient is φ = 61332278400000.

The previous prime is 229998085365887. The next prime is 229998085365991. The reversal of 229998085365960 is 69563580899922.

229998085365960 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 98 + 0 + 85 + 365 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130200742586916 + 99797342779044 = 11410554^2 + 9989862^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 229998085365960.

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, 38622630 + ... + 44178090.

Almost surely, 2229998085365960 is an apocalyptic number.

229998085365960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229998085365960 is an abundant number, since it is smaller than the sum of its proper divisors (517502326515120).

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

229998085365960 is a wasteful number, since it uses less digits than its factorization.

229998085365960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670479 (or 5670472 counting only the distinct ones).

The product of its (nonzero) digits is 4534963200, while the sum is 81.

The spelling of 229998085365960 in words is "two hundred twenty-nine trillion, nine hundred ninety-eight billion, eighty-five million, three hundred sixty-five thousand, nine hundred sixty".

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 115001 230002 345003 460004 575005 690006 920008 1035009 1150010 1380012 1725015 2070018 2300020 2760024 3450030 4140036 4600040 5175045 5555461 6900060 8280072 10350090 11110922 13800120 16666383 20700180 22221844 27777305 33332766 41400360 44443688 49999149 55554610 66665532 83331915 99998298 111109220 133331064 166663830 199996596 222218440 249995745 333327660 399993192 499991490 666655320 999982980 1999965960 638883570461 1277767140922 1916650711383 2555534281844 3194417852305 3833301422766 5111068563688 5749952134149 6388835704610 7666602845532 9583253556915 11499904268298 12777671409220 15333205691064 19166507113830 22999808536596 25555342818440 28749760670745 38333014227660 45999617073192 57499521341490 76666028455320 114999042682980 229998085365960