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236540213316 = 223211273692
BaseRepresentation
bin1101110001001011100…
…1010011100001000100
3211121112220010211220100
43130102321103201010
512333413243311231
6300355353404100
723042454432111
oct3342271234104
9747486124810
10236540213316
1191352869300
1239a14a09630
13193c8674a84
14b63cd9b908
1562463441e6
hex3712e53844

236540213316 has 81 divisors (see below), whose sum is σ = 657308253693. Its totient is φ = 71669125440.

The previous prime is 236540213303. The next prime is 236540213317. The reversal of 236540213316 is 613312045632.

The square root of 236540213316 is 486354.

It is a perfect power (a square), and thus also a powerful number.

236540213316 is a `hidden beast` number, since 236 + 5 + 402 + 1 + 3 + 3 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 218412283716 + 18127929600 = 467346^2 + 134640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (236540213317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32095680 + ... + 32103048.

Almost surely, 2236540213316 is an apocalyptic number.

236540213316 is the 486354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 236540213316

236540213316 is an abundant number, since it is smaller than the sum of its proper divisors (420768040377).

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

236540213316 is an equidigital number, since it uses as much as digits as its factorization.

236540213316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14770 (or 7385 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Multiplying 236540213316 by its sum of digits (36), we get a square (8515447679376 = 29181242).

236540213316 divided by its sum of digits (36) gives a square (6570561481 = 810592).

Adding to 236540213316 its reverse (613312045632), we get a palindrome (849852258948).

The spelling of 236540213316 in words is "two hundred thirty-six billion, five hundred forty million, two hundred thirteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 7369 14738 22107 29476 44214 66321 81059 88428 132642 162118 243177 265284 324236 486354 729531 891649 972708 1459062 1783298 2674947 2918124 3566596 5349894 8024841 10699788 16049682 32099364 54302161 108604322 162906483 217208644 325812966 488719449 597323771 651625932 977438898 1194647542 1791971313 1954877796 2389295084 3583942626 5375913939 6570561481 7167885252 10751827878 13141122962 19711684443 21503655756 26282245924 39423368886 59135053329 78846737772 118270106658 236540213316