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232024312014 = 2311171039199033
BaseRepresentation
bin1101100000010110111…
…0100000100011001110
3211011220011200021220120
43120011232200203032
512300141210441024
6254331314125410
722522531053105
oct3300556404316
9734804607816
10232024312014
118a445747870
1238b74580866
1318b58bc1621
14b33131303c
15607eb64479
hex3605ba08ce

232024312014 has 64 divisors (see below), whose sum is σ = 536531973120. Its totient is φ = 66110469120.

The previous prime is 232024312007. The next prime is 232024312027. The reversal of 232024312014 is 410213420232.

It is a happy number.

232024312014 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1066242 + ... + 1265274.

It is an arithmetic number, because the mean of its divisors is an integer number (8383312080).

Almost surely, 2232024312014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232024312014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268265986560).

232024312014 is an abundant number, since it is smaller than the sum of its proper divisors (304507661106).

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

232024312014 is a wasteful number, since it uses less digits than its factorization.

232024312014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200105.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 232024312014 its reverse (410213420232), we get a palindrome (642237732246).

The spelling of 232024312014 in words is "two hundred thirty-two billion, twenty-four million, three hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1039 1122 2078 3117 6234 11429 17663 22858 34287 35326 52989 68574 105978 194293 199033 388586 398066 582879 597099 1165758 1194198 2189363 3383561 4378726 6568089 6767122 10150683 13136178 20301366 37219171 74438342 111657513 206795287 223315026 413590574 620385861 1240771722 2274748157 3515519879 4549496314 6824244471 7031039758 10546559637 13648488942 21093119274 38670718669 77341437338 116012156007 232024312014