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2232144412322 = 2112314110370457
BaseRepresentation
bin100000011110110110001…
…011001011111010100010
321220101112222111212112012
4200132312023023322202
5243032412432143242
64425233305232522
7320160422310626
oct40366613137242
97811488455465
102232144412322
11790713368800
12300730792742
1313264b2b6466
147a071b07186
153d0e3467282
hex207b62cbea2

2232144412322 has 96 divisors (see below), whose sum is σ = 3929486625792. Its totient is φ = 948619584000.

The previous prime is 2232144412273. The next prime is 2232144412331.

2232144412322 is nontrivially palindromic in base 10.

2232144412322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22321444123223 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31645718 + ... + 31716174.

It is an arithmetic number, because the mean of its divisors is an integer number (40932152352).

Almost surely, 22232144412322 is an apocalyptic number.

2232144412322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2232144412322 is a deficient number, since it is larger than the sum of its proper divisors (1697342213470).

2232144412322 is a wasteful number, since it uses less digits than its factorization.

2232144412322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70656 (or 70645 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The spelling of 2232144412322 in words is "two trillion, two hundred thirty-two billion, one hundred forty-four million, four hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 11 22 31 41 62 82 103 121 206 242 341 451 682 902 1133 1271 2266 2542 3193 3751 4223 4961 6386 7502 8446 9922 12463 13981 24926 27962 35123 46453 70246 70457 92906 130913 140914 153791 261826 307582 386353 510983 772706 775027 1021966 1440043 1550054 2184167 2880086 2888737 4368334 5777474 7257071 8525297 14514142 15840473 17050594 24025837 31680946 31776107 48051674 63552214 79827781 89550847 159655562 179101694 224969201 264284207 297539911 349537177 449938402 528568414 595079822 699074354 878105591 985059317 1756211182 1970118634 2474661211 3272939021 4949322422 6545878042 9223737241 10835652487 18447474482 21671304974 27221273321 36002329231 54442546642 72004658462 101461109651 202922219302 1116072206161 2232144412322