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229741666952 = 23724325632
BaseRepresentation
bin1101010111110110101…
…0111010001010001000
3210222000002110220112212
43111331222322022020
512231002331320302
6253313013124252
722412132643200
oct3257552721210
9728002426485
10229741666952
11894841aa846
1238638029688
1318884014985
14b1960c1400
155e99570052
hex357daba288

229741666952 has 108 divisors (see below), whose sum is σ = 513931923495. Its totient is φ = 96000111648.

The previous prime is 229741666897. The next prime is 229741667033. The reversal of 229741666952 is 259666147922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 114870833476 + 114870833476 = 338926^2 + 338926^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338926.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 229741666891 and 229741666900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 408066623 + ... + 408067185.

Almost surely, 2229741666952 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 229741666952

229741666952 is an abundant number, since it is smaller than the sum of its proper divisors (284190256543).

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

229741666952 is an frugal number, since it uses more digits than its factorization.

229741666952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 615 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 59.

The spelling of 229741666952 in words is "two hundred twenty-nine billion, seven hundred forty-one million, six hundred sixty-six thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 43 49 56 86 98 172 196 301 344 392 563 602 1126 1204 1849 2107 2252 2408 3698 3941 4214 4504 7396 7882 8428 12943 14792 15764 16856 24209 25886 27587 31528 48418 51772 55174 90601 96836 103544 110348 169463 181202 193672 220696 316969 338926 362404 633938 677852 724808 1040987 1186241 1267876 1355704 2081974 2218783 2372482 2535752 4163948 4437566 4744964 7286909 8327896 8875132 9489928 13629667 14573818 15531481 17750264 27259334 29147636 31062962 51008363 54518668 58295272 62125924 95407669 102016726 109037336 124251848 190815338 204033452 381630676 408066904 586075681 667853683 763261352 1172151362 1335707366 2344302724 2671414732 4102529767 4688605448 5342829464 8205059534 16410119068 28717708369 32820238136 57435416738 114870833476 229741666952