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1322234420232 = 2331121669272807
BaseRepresentation
bin10011001111011011010…
…100000001110000001000
311200101220210100000210210
4103033123110001300020
5133130414002421412
62451232012241120
7164346126063105
oct23173324016010
94611823300723
101322234420232
1146a835950200
121943117701a0
13978bc69560b
1447dd450baac
15245dae0b83c
hex133db501c08

1322234420232 has 96 divisors (see below), whose sum is σ = 3635603092800. Its totient is φ = 400435559040.

The previous prime is 1322234420159. The next prime is 1322234420239. The reversal of 1322234420232 is 2320244322231.

It is a self number, because there is not a number n which added to its sum of digits gives 1322234420232.

It is not an unprimeable number, because it can be changed into a prime (1322234420239) 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 23 ways as a sum of consecutive naturals, for example, 4710373 + ... + 4983179.

It is an arithmetic number, because the mean of its divisors is an integer number (37870865550).

Almost surely, 21322234420232 is an apocalyptic number.

1322234420232 is a gapful number since it is divisible by the number (12) 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 1322234420232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817801546400).

1322234420232 is an abundant number, since it is smaller than the sum of its proper divisors (2313368672568).

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

1322234420232 is a wasteful number, since it uses less digits than its factorization.

1322234420232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274507 (or 274492 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1322234420232 its reverse (2320244322231), we get a palindrome (3642478742463).

The spelling of 1322234420232 in words is "one trillion, three hundred twenty-two billion, two hundred thirty-four million, four hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 1669 2904 3338 5007 6676 10014 13352 18359 20028 36718 40056 55077 73436 110154 146872 201949 220308 272807 403898 440616 545614 605847 807796 818421 1091228 1211694 1615592 1636842 2182456 2423388 3000877 3273684 4846776 6001754 6547368 9002631 12003508 18005262 24007016 33009647 36010524 66019294 72021048 99028941 132038588 198057882 264077176 396115764 455314883 792231528 910629766 1365944649 1821259532 2731889298 3642519064 5008463713 5463778596 10016927426 10927557192 15025391139 20033854852 30050782278 40067709704 55093100843 60101564556 110186201686 120203129112 165279302529 220372403372 330558605058 440744806744 661117210116 1322234420232