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229968125298 = 2361926612
BaseRepresentation
bin1101011000101100101…
…0110001110101110010
3210222120212121012000000
43112023022301311302
512231433320002143
6253351303010430
722420552545462
oct3261312616562
9728525535000
10229968125298
11895900142aa
123869ba39a16
13188bbc03bb2
14b1b81cdba2
155eae3a3bd3
hex358b2b1d72

229968125298 has 126 divisors (see below), whose sum is σ = 546672004317. Its totient is φ = 72511647120.

The previous prime is 229968125297. The next prime is 229968125327. The reversal of 229968125298 is 892521869922.

229968125298 is a `hidden beast` number, since 2 + 2 + 9 + 96 + 8 + 12 + 529 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 207987987249 + 21980138049 = 456057^2 + 148257^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=339093.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (229968125297) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 347909088 + ... + 347909748.

Almost surely, 2229968125298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229968125298

229968125298 is an abundant number, since it is smaller than the sum of its proper divisors (316703879019).

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

229968125298 is an frugal number, since it uses more digits than its factorization.

229968125298 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 685 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 229968125298 in words is "two hundred twenty-nine billion, nine hundred sixty-eight million, one hundred twenty-five thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 361 486 513 661 722 729 1026 1083 1322 1458 1539 1983 2166 3078 3249 3966 4617 5949 6498 9234 9747 11898 12559 13851 17847 19494 25118 27702 29241 35694 37677 53541 58482 75354 87723 107082 113031 160623 175446 226062 238621 263169 321246 339093 436921 477242 481869 526338 678186 715863 873842 963738 1017279 1310763 1431726 2034558 2147589 2621526 3051837 3932289 4295178 6103674 6442767 7864578 8301499 9155511 11796867 12885534 16602998 18311022 19328301 23593734 24904497 35390601 38656602 49808994 57984903 70781202 74713491 106171803 115969806 149426982 157728481 173954709 212343606 224140473 315456962 318515409 347909418 448280946 473185443 637030818 672421419 946370886 1344842838 1419556329 2017264257 2839112658 4034528514 4258668987 6051792771 8517337974 12103585542 12776006961 25552013922 38328020883 76656041766 114984062649 229968125298