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232420313214 = 23282722876827
BaseRepresentation
bin1101100001110101010…
…1001000100001111110
3211012220202211020102200
43120131111020201332
512301444100010324
6254434501532330
722535410031415
oct3303525104176
9735822736380
10232420313214
118a629231391
12390651140a6
1318bbcc62a6b
14b36bb5647c
1560a47d7ec9
hex361d54887e

232420313214 has 48 divisors (see below), whose sum is σ = 504480607488. Its totient is φ = 77334593616.

The previous prime is 232420313173. The next prime is 232420313221. The reversal of 232420313214 is 412313024232.

232420313214 is a `hidden beast` number, since 2 + 324 + 2 + 0 + 313 + 21 + 4 = 666.

232420313214 is digitally balanced in base 2, 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34040869 + ... + 34047695.

It is an arithmetic number, because the mean of its divisors is an integer number (10510012656).

Almost surely, 2232420313214 is an apocalyptic number.

232420313214 is an abundant number, since it is smaller than the sum of its proper divisors (272060294274).

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

232420313214 is a wasteful number, since it uses less digits than its factorization.

232420313214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9949 (or 9946 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 232420313214 its reverse (412313024232), we get a palindrome (644733337446).

The spelling of 232420313214 in words is "two hundred thirty-two billion, four hundred twenty million, three hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 827 1654 2287 2481 4574 4962 6827 6861 7443 13654 13722 14886 20481 20583 40962 41166 61443 122886 1891349 3782698 5645929 5674047 11291858 11348094 15613349 16937787 17022141 31226698 33875574 34044282 46840047 50813361 93680094 101626722 140520141 281040282 12912239623 25824479246 38736718869 77473437738 116210156607 232420313214