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229850432064 = 26321136276899
BaseRepresentation
bin1101011000010000100…
…1110100001001000000
3210222021200010202020100
43112010021310021000
512231213202311224
6253331500242400
722414623302511
oct3260411641100
9728250122210
10229850432064
118952a638670
1238668540400
13188a0706c26
14b1a6714a08
155ea3da6ac9
hex3584274240

229850432064 has 84 divisors (see below), whose sum is σ = 718717942800. Its totient is φ = 69651644160.

The previous prime is 229850432041. The next prime is 229850432089. The reversal of 229850432064 is 460234058922.

229850432064 is a `hidden beast` number, since 22 + 98 + 50 + 432 + 0 + 64 = 666.

It is a super-3 number, since 3×2298504320643 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18132114 + ... + 18144785.

Almost surely, 2229850432064 is an apocalyptic number.

229850432064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

229850432064 is an abundant number, since it is smaller than the sum of its proper divisors (488867510736).

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

229850432064 is a wasteful number, since it uses less digits than its factorization.

229850432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36276928 (or 36276915 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 229850432064 in words is "two hundred twenty-nine billion, eight hundred fifty million, four hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 36276899 72553798 108830697 145107596 217661394 290215192 326492091 399045889 435322788 580430384 652984182 798091778 870645576 1160860768 1197137667 1305968364 1596183556 1741291152 2321721536 2394275334 2611936728 3192367112 3482582304 3591413001 4788550668 5223873456 6384734224 6965164608 7182826002 9577101336 10447746912 12769468448 14365652004 19154202672 20895493824 25538936896 28731304008 38308405344 57462608016 76616810688 114925216032 229850432064