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232122432344 = 231110334973379
BaseRepresentation
bin1101100000101110010…
…0110011101101011000
3211012011000022022200212
43120023210303231120
512300341320313334
6254345141150252
722525132056155
oct3301344635530
9735130268625
10232122432344
118a496075050
1238ba13bb388
1318b733276aa
14b34037522c
156088596ece
hex360b933b58

232122432344 has 64 divisors (see below), whose sum is σ = 480785760000. Its totient is φ = 104185019520.

The previous prime is 232122432293. The next prime is 232122432469. The reversal of 232122432344 is 443234221232.

232122432344 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 232122432344.

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 15 ways as a sum of consecutive naturals, for example, 3126647 + ... + 3200025.

It is an arithmetic number, because the mean of its divisors is an integer number (7512277500).

Almost surely, 2232122432344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232122432344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240392880000).

232122432344 is an abundant number, since it is smaller than the sum of its proper divisors (248663327656).

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

232122432344 is a wasteful number, since it uses less digits than its factorization.

232122432344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73848 (or 73844 counting only the distinct ones).

The product of its digits is 55296, while the sum is 32.

Adding to 232122432344 its reverse (443234221232), we get a palindrome (675356653576).

It can be divided in two parts, 232122 and 432344, that added together give a palindrome (664466).

The spelling of 232122432344 in words is "two hundred thirty-two billion, one hundred twenty-two million, four hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 103 206 349 412 698 824 1133 1396 2266 2792 3839 4532 7678 9064 15356 30712 35947 71894 73379 143788 146758 287576 293516 395417 587032 790834 807169 1581668 1614338 3163336 3228676 6457352 7558037 15116074 25609271 30232148 51218542 60464296 83138407 102437084 166276814 204874168 281701981 332553628 563403962 665107256 1126807924 2253615848 2637754913 5275509826 10551019652 21102039304 29015304043 58030608086 116061216172 232122432344