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229853023140672 = 2634271431633531
BaseRepresentation
bin110100010000110011010011…
…110010110111101101000000
31010010211201211101102202120000
4310100303103302313231000
5220111402442411000142
62132505004320320000
766262222121225001
oct6420632362675500
91103751741382500
10229853023140672
1167269135341618
1221943080473000
139b3407c575cc9
1440a8d34d2b1a8
151b8901089e14c
hexd10cd3cb7b40

229853023140672 has 140 divisors (see below), whose sum is σ = 681381886607136. Its totient is φ = 76614804737280.

The previous prime is 229853023140599. The next prime is 229853023140703. The reversal of 229853023140672 is 276041320358922.

229853023140672 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 530 + 2 + 3 + 1 + 40 + 67 + 2 = 666.

It is a super-3 number, since 3×2298530231406723 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139892547 + ... + 141526077.

It is a 2-persistent number, because it is pandigital, and so is 2⋅229853023140672 = 459706046281344, but 3⋅229853023140672 = 689559069422016 is not.

Almost surely, 2229853023140672 is an apocalyptic number.

It is an amenable number.

229853023140672 is an abundant number, since it is smaller than the sum of its proper divisors (451528863466464).

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

229853023140672 is a wasteful number, since it uses less digits than its factorization.

229853023140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660698 (or 1660679 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 229853023140672 in words is "two hundred twenty-nine trillion, eight hundred fifty-three billion, twenty-three million, one hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 27143 54286 81429 108572 162858 217144 244287 325716 434288 488574 651432 732861 868576 977148 1302864 1465722 1633531 1737152 1954296 2198583 2605728 2931444 3267062 3908592 4397166 4900593 5211456 5862888 6534124 7817184 8794332 9801186 11725776 13068248 14701779 15634368 17588664 19602372 23451552 26136496 29403558 35177328 39204744 44105337 46903104 52272992 58807116 70354656 78409488 88210674 104545984 117614232 132316011 140709312 156818976 176421348 235228464 264632022 313637952 352842696 470456928 529264044 705685392 940913856 1058528088 1411370784 2117056176 2822741568 4234112352 8468224704 44338931933 88677863866 133016795799 177355727732 266033591598 354711455464 399050387397 532067183196 709422910928 798100774794 1064134366392 1197151162191 1418845821856 1596201549588 2128268732784 2394302324382 2837691643712 3192403099176 3591453486573 4256537465568 4788604648764 6384806198352 7182906973146 8513074931136 9577209297528 12769612396704 14365813946292 19154418595056 25539224793408 28731627892584 38308837190112 57463255785168 76617674380224 114926511570336 229853023140672