Search a number
-
+
233340043332 = 223113161934811
BaseRepresentation
bin1101100101010000100…
…1101000000001000100
3211022021212110100222010
43121110021220001010
512310340022341312
6255110034534220
722600245433344
oct3312411500104
9738255410863
10233340043332
118aa6040a220
1239281137370
1319008676a76
14b417d6ad24
15610a41093c
hex3654268044

233340043332 has 96 divisors (see below), whose sum is σ = 623168114688. Its totient is φ = 67306320000.

The previous prime is 233340043303. The next prime is 233340043333.

It is a happy number.

233340043332 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 233340043332.

It is not an unprimeable number, because it can be changed into a prime (233340043333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217794 + ... + 717017.

It is an arithmetic number, because the mean of its divisors is an integer number (6491334528).

Almost surely, 2233340043332 is an apocalyptic number.

233340043332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

233340043332 is an abundant number, since it is smaller than the sum of its proper divisors (389828071356).

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

233340043332 is a wasteful number, since it uses less digits than its factorization.

233340043332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934921 (or 934919 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 30.

It can be divided in two parts, 2333400 and 43332, that added together give a palindrome (2376732).

The spelling of 233340043332 in words is "two hundred thirty-three billion, three hundred forty million, forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 61 62 66 93 122 124 132 183 186 244 341 366 372 671 682 732 1023 1342 1364 1891 2013 2046 2684 3782 4026 4092 5673 7564 8052 11346 20801 22692 41602 62403 83204 124806 249612 934811 1869622 2804433 3739244 5608866 10282921 11217732 20565842 28979141 30848763 41131684 57023471 57958282 61697526 86937423 114046942 115916564 123395052 171070413 173874846 228093884 318770551 342140826 347749692 627258181 637541102 684281652 956311653 1254516362 1275082204 1767727601 1881774543 1912623306 2509032724 3535455202 3763549086 3825246612 5303182803 7070910404 7527098172 10606365606 19445003611 21212731212 38890007222 58335010833 77780014444 116670021666 233340043332