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234241001022 = 237195926318917
BaseRepresentation
bin1101101000100111011…
…0100000011000111110
3211101121122202202120110
43122021312200120332
512314211144013042
6255335301330450
722631465441220
oct3321166403076
9741548682513
10234241001022
1190382a36056
1239492a06a26
1319120217322
14b4a1896410
15615e57b09c
hex3689da063e

234241001022 has 128 divisors (see below), whose sum is σ = 575349350400. Its totient is φ = 62088667776.

The previous prime is 234241001017. The next prime is 234241001083. The reversal of 234241001022 is 220100142432.

234241001022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 234241001022.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 12373108 + ... + 12392024.

It is an arithmetic number, because the mean of its divisors is an integer number (4494916800).

Almost surely, 2234241001022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234241001022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287674675200).

234241001022 is an abundant number, since it is smaller than the sum of its proper divisors (341108349378).

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

234241001022 is a wasteful number, since it uses less digits than its factorization.

234241001022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19270.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 234241001022 its reverse (220100142432), we get a palindrome (454341143454).

The spelling of 234241001022 in words is "two hundred thirty-four billion, two hundred forty-one million, one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 59 114 118 133 177 263 266 354 399 413 526 789 798 826 1121 1239 1578 1841 2242 2478 3363 3682 4997 5523 6726 7847 9994 11046 14991 15517 15694 18917 23541 29982 31034 34979 37834 46551 47082 56751 69958 93102 104937 108619 113502 132419 209874 217238 264838 294823 325857 359423 397257 589646 651714 718846 794514 884469 1078269 1116103 1768938 2063761 2156538 2232206 2515961 3348309 4127522 4975171 5031922 6191283 6696618 7547883 7812721 9950342 12382566 14925513 15095766 15625442 21205957 23438163 29851026 34826197 42411914 46876326 63617871 69652394 94528249 104478591 127235742 148441699 189056498 208957182 283584747 293535089 296883398 445325097 567169494 587070178 661697743 880605267 890650194 1323395486 1761210534 1985093229 2054745623 3970186458 4109491246 5577166691 6164236869 11154333382 12328473738 16731500073 33463000146 39040166837 78080333674 117120500511 234241001022