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4122332214 = 23711133791811
BaseRepresentation
bin1111010110110101…
…1100110000110110
3101122021220011200220
43311231130300312
531420304112324
61521015515210
7204104150160
oct36555346066
911567804626
104122332214
111825a49230
12970688b06
13509084040
142b16b9930
15191d8bb79
hexf5b5cc36

4122332214 has 128 divisors (see below), whose sum is σ = 11105095680. Its totient is φ = 985219200.

The previous prime is 4122332173. The next prime is 4122332219.

It is a happy number.

4122332214 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122332219) by changing a digit.

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, 2275369 + ... + 2277179.

It is an arithmetic number, because the mean of its divisors is an integer number (86758560).

Almost surely, 24122332214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122332214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552547840).

4122332214 is an abundant number, since it is smaller than the sum of its proper divisors (6982763466).

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

4122332214 is a wasteful number, since it uses less digits than its factorization.

4122332214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226.

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

The square root of 4122332214 is about 64205.3908484327. The cubic root of 4122332214 is about 1603.4213524503.

It can be divided in two parts, 41223 and 32214, that added together give a palindrome (73437).

The spelling of 4122332214 in words is "four billion, one hundred twenty-two million, three hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 379 429 462 546 758 858 1001 1137 1811 2002 2274 2653 3003 3622 4169 4927 5306 5433 6006 7959 8338 9854 10866 12507 12677 14781 15918 19921 23543 25014 25354 29183 29562 34489 38031 39842 47086 54197 58366 59763 68978 70629 76062 87549 103467 108394 119526 139447 141258 162591 164801 175098 206934 258973 278894 325182 329602 379379 418341 494403 517946 686369 758758 776919 836682 988806 1138137 1372738 1553838 1812811 2059107 2276274 3625622 4118214 4804583 5438433 7550059 8922797 9609166 10876866 14413749 15100118 17845594 22650177 26768391 28827498 45300354 52850413 53536782 62459579 98150767 105700826 124919158 158551239 187378737 196301534 294452301 317102478 374757474 588904602 687055369 1374110738 2061166107 4122332214