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233430021330 = 23511310157881
BaseRepresentation
bin1101100101100110000…
…0110111010011010010
3211022112010202201120120
43121121200313103102
512311031041140310
6255123011251110
722602420305022
oct3313140672322
9738463681516
10233430021330
118aaa7186000
12392a72a9a96
13190211bb99c
14b425cada82
156113285b70
hex36598374d2

233430021330 has 128 divisors (see below), whose sum is σ = 622325037312. Its totient is φ = 56027840000.

The previous prime is 233430021329. The next prime is 233430021347. The reversal of 233430021330 is 33120034332.

It is a happy number.

233430021330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 233430021330.

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, 4003990 + ... + 4061870.

It is an arithmetic number, because the mean of its divisors is an integer number (4861914354).

Almost surely, 2233430021330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233430021330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311162518656).

233430021330 is an abundant number, since it is smaller than the sum of its proper divisors (388895015982).

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

233430021330 is a wasteful number, since it uses less digits than its factorization.

233430021330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58025 (or 58003 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 233430021330 its reverse (33120034332), we get a palindrome (266550055662).

It can be divided in two parts, 23343002 and 1330, that added together give a palindrome (23344332).

The spelling of 233430021330 in words is "two hundred thirty-three billion, four hundred thirty million, twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 121 165 202 242 303 330 363 505 605 606 726 1010 1111 1210 1331 1515 1815 2222 2662 3030 3333 3630 3993 5555 6655 6666 7986 11110 12221 13310 16665 19965 24442 33330 36663 39930 57881 61105 73326 115762 122210 134431 173643 183315 268862 289405 347286 366630 403293 578810 636691 672155 806586 868215 1273382 1344310 1736430 1910073 2016465 3183455 3820146 4032930 5845981 6366910 7003601 9550365 11691962 14007202 17537943 19100730 21010803 29229905 35018005 35075886 42021606 58459810 64305791 70036010 77039611 87689715 105054015 128611582 154079222 175379430 192917373 210108030 231118833 321528955 385198055 385834746 462237666 643057910 707363701 770396110 964586865 1155594165 1414727402 1929173730 2122091103 2311188330 3536818505 4244182206 7073637010 7781000711 10610455515 15562001422 21220911030 23343002133 38905003555 46686004266 77810007110 116715010665 233430021330