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229811449271472 = 243218146119126243
BaseRepresentation
bin110100010000001100100101…
…110011001001010010110000
31010010200202112000212101101200
4310100030211303021102300
5220110212322003141342
62132433531120131200
766256220643166155
oct6420144563112260
91103622460771350
10229811449271472
1167252540a3a332
1221936bb9466b00
139b301854097c3
1440a6d0d70c22c
151b87dcab2a94c
hexd10325cc94b0

229811449271472 has 120 divisors (see below), whose sum is σ = 648109073499888. Its totient is φ = 76015336204800.

The previous prime is 229811449271377. The next prime is 229811449271539. The reversal of 229811449271472 is 274172944118922.

It is a happy number.

229811449271472 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 1 + 1 + 4 + 4 + 92 + 71 + 472 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2452383 + ... + 21578625.

Almost surely, 2229811449271472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229811449271472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324054536749944).

229811449271472 is an abundant number, since it is smaller than the sum of its proper divisors (418297624228416).

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

229811449271472 is a wasteful number, since it uses less digits than its factorization.

229811449271472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19126899 (or 19126890 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 229811449271472 in words is "two hundred twenty-nine trillion, eight hundred eleven billion, four hundred forty-nine million, two hundred seventy-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 181 362 461 543 724 922 1086 1383 1448 1629 1844 2172 2766 2896 3258 3688 4149 4344 5532 6516 7376 8298 8688 11064 13032 16596 22128 26064 33192 66384 83441 166882 250323 333764 500646 667528 750969 1001292 1335056 1501938 2002584 3003876 4005168 6007752 12015504 19126243 38252486 57378729 76504972 114757458 153009944 172136187 229514916 306019888 344272374 459029832 688544748 918059664 1377089496 2754178992 3461849983 6923699966 8817198023 10385549949 13847399932 17634396046 20771099898 26451594069 27694799864 31156649847 35268792092 41542199796 52903188138 55389599728 62313299694 70537584184 79354782207 83084399592 105806376276 124626599388 141075168368 158709564414 166168799184 211612752552 249253198776 317419128828 423225505104 498506397552 634838257656 1269676515312 1595912842163 3191825684326 4787738526489 6383651368652 9575477052978 12767302737304 14363215579467 19150954105956 25534605474608 28726431158934 38301908211912 57452862317868 76603816423824 114905724635736 229811449271472