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2231031132 = 223211291311483
BaseRepresentation
bin1000010011111010…
…1101010101011100
312202111002010100200
42010332231111130
514032120444012
61005214423500
7106200310641
oct20476552534
95674063320
102231031132
11a453a4790
12523201b90
132972a7a85
14172437dc8
15d0ceb3dc
hex84fad55c

2231031132 has 144 divisors (see below), whose sum is σ = 6417290880. Its totient is φ = 647337600.

The previous prime is 2231031097. The next prime is 2231031139. The reversal of 2231031132 is 2311301322.

It is a super-3 number, since 3×22310311323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231031139) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1503663 + ... + 1505145.

It is an arithmetic number, because the mean of its divisors is an integer number (44564520).

Almost surely, 22231031132 is an apocalyptic number.

2231031132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231031132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208645440).

2231031132 is an abundant number, since it is smaller than the sum of its proper divisors (4186259748).

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

2231031132 is a wasteful number, since it uses less digits than its factorization.

2231031132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2231031132 is about 47233.7922678245. The cubic root of 2231031132 is about 1306.6778928243.

Adding to 2231031132 its reverse (2311301322), we get a palindrome (4542332454).

The spelling of 2231031132 in words is "two billion, two hundred thirty-one million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 131 132 174 198 261 262 319 348 393 396 522 524 638 786 957 1044 1179 1276 1441 1483 1572 1914 2358 2871 2882 2966 3799 3828 4323 4449 4716 5742 5764 5932 7598 8646 8898 11397 11484 12969 13347 15196 16313 17292 17796 22794 25938 26694 32626 34191 41789 43007 45588 48939 51876 53388 65252 68382 83578 86014 97878 125367 129021 136764 146817 167156 172028 194273 195756 250734 258042 293634 376101 387063 388546 473077 501468 516084 582819 587268 752202 774126 777092 946154 1165638 1419231 1504404 1548252 1748457 1892308 2137003 2331276 2838462 3496914 4257693 4274006 5633917 5676924 6411009 6993828 8515386 8548012 11267834 12822018 16901751 17030772 19233027 22535668 25644036 33803502 38466054 50705253 61973087 67607004 76932108 101410506 123946174 185919261 202821012 247892348 371838522 557757783 743677044 1115515566 2231031132