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3225334335223 = 711213412271643
BaseRepresentation
bin101110111011110100111…
…010000100011011110111
3102102100011002120112110111
4232323310322010123313
5410320441042211343
610505410444203451
7452010535334530
oct56736472043367
912370132515414
103225334335223
111033947169a00
12441111b39587
131a51bc715680
14b216d911687
1558d71dccc9d
hex2eef4e846f7

3225334335223 has 144 divisors (see below), whose sum is σ = 4495828255744. Its totient is φ = 2251478592000.

The previous prime is 3225334335217. The next prime is 3225334335229.

3225334335223 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3225334335217) and next prime (3225334335229).

It is not a de Polignac number, because 3225334335223 - 229 = 3224797464311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225334335229) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5016071740 + ... + 5016072382.

Almost surely, 23225334335223 is an apocalyptic number.

3225334335223 is a deficient number, since it is larger than the sum of its proper divisors (1270493920521).

3225334335223 is a wasteful number, since it uses less digits than its factorization.

3225334335223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 986 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 40.

The spelling of 3225334335223 in words is "three trillion, two hundred twenty-five billion, three hundred thirty-four million, three hundred thirty-five thousand, two hundred twenty-three".

Divisors: 1 7 11 13 41 77 91 121 143 271 287 451 533 643 847 1001 1573 1681 1897 2981 3157 3523 3731 4501 4961 5863 7073 8359 11011 11111 11767 18491 20867 21853 24661 26363 32791 34727 38753 41041 49511 58513 64493 77777 77803 91949 122221 129437 144443 152971 174253 184541 203401 229537 240383 271271 289993 342719 426283 451451 455551 544621 643643 855547 1011101 1011439 1080883 1219771 1344431 1423807 1588873 1682681 1916783 2029951 2265289 2399033 2644213 2983981 3188857 3189923 3769909 5011061 5922163 7080073 7144373 7566181 9411017 11122111 11889713 13417481 14051479 15857023 17477603 18509491 21084613 22329461 24918179 26389363 35077427 41455141 41468999 50010611 55121671 65143793 78588103 83227991 92876849 98360353 122343221 130786843 147592291 154566269 174427253 274099969 290282993 292919293 385851697 456006551 550116721 650137943 716581723 864469133 915507901 1021645339 1081963883 1700228959 1918699783 2050435051 3222112223 3807950809 5016072061 6051283931 7151517373 11238098729 11901602713 22554785561 26655655663 35443234453 41887458899 78666691103 248102641171 293212212293 460762047889 3225334335223