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234202020234 = 237213397154351
BaseRepresentation
bin1101101000011110000…
…1110011100110001010
3211101111221102022222120
43122013201303212022
512314121204121414
6255331350032110
722630513216500
oct3320741634612
9741457368876
10234202020234
1190362a31226
1239481948636
1319115119680
14b49a62a670
15615ae2b2a9
hex368787398a

234202020234 has 96 divisors (see below), whose sum is σ = 588273751296. Its totient is φ = 61611580800.

The previous prime is 234202020209. The next prime is 234202020251. The reversal of 234202020234 is 432020202432.

It is a happy number.

234202020234 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 1440159 + ... + 1594509.

It is an arithmetic number, because the mean of its divisors is an integer number (6127851576).

Almost surely, 2234202020234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234202020234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294136875648).

234202020234 is an abundant number, since it is smaller than the sum of its proper divisors (354071731062).

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

234202020234 is a wasteful number, since it uses less digits than its factorization.

234202020234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154780 (or 154773 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 234202020234 its reverse (432020202432), we get a palindrome (666222222666).

The spelling of 234202020234 in words is "two hundred thirty-four billion, two hundred two million, twenty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 397 546 637 794 1191 1274 1911 2382 2779 3822 5161 5558 8337 10322 15483 16674 19453 30966 36127 38906 58359 72254 108381 116718 154351 216762 252889 308702 463053 505778 758667 926106 1080457 1517334 2006563 2160914 3241371 4013126 6019689 6482742 7563199 12039378 14045941 15126398 22689597 28091882 42137823 45379194 61277347 84275646 98321587 122554694 183832041 196643174 294964761 367664082 428941429 589929522 796605511 857882858 1286824287 1593211022 2389816533 2573648574 3002590003 4779633066 5576238577 6005180006 9007770009 11152477154 16728715731 18015540018 33457431462 39033670039 78067340078 117101010117 234202020234