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225639240177 = 3134171931263
BaseRepresentation
bin1101001000100100100…
…1011001000111110001
3210120102012001000222110
43102021021121013301
512144102121141202
6251353543555533
722205356616241
oct3221111310761
9716365030873
10225639240177
118776951789a
123789215bba9
131837c110000
14acc7307b21
155d0931626c
hex34892591f1

225639240177 has 160 divisors (see below), whose sum is σ = 376400977920. Its totient is φ = 119359319040.

The previous prime is 225639240163. The next prime is 225639240193. The reversal of 225639240177 is 771042936522.

It is not a de Polignac number, because 225639240177 - 27 = 225639240049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225639240677) 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 159 ways as a sum of consecutive naturals, for example, 857943748 + ... + 857944010.

It is an arithmetic number, because the mean of its divisors is an integer number (2352506112).

Almost surely, 2225639240177 is an apocalyptic number.

It is an amenable number.

225639240177 is a deficient number, since it is larger than the sum of its proper divisors (150761737743).

225639240177 is a wasteful number, since it uses less digits than its factorization.

225639240177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 225639240177 in words is "two hundred twenty-five billion, six hundred thirty-nine million, two hundred forty thousand, one hundred seventy-seven".

Divisors: 1 3 13 17 19 31 39 51 57 93 169 221 247 263 323 403 507 527 589 663 741 789 969 1209 1581 1767 2197 2873 3211 3419 4199 4471 4997 5239 6591 6851 7657 8153 8619 9633 10013 10257 12597 13413 14991 15717 20553 22971 24459 28561 30039 37349 41743 44447 54587 58123 64961 68107 84949 85683 89063 99541 105989 112047 125229 130169 133341 138601 154907 163761 174369 194883 204321 254847 267189 298623 317967 390507 415803 464721 485537 542659 577811 709631 755599 844493 885391 1104337 1157819 1294033 1377857 1456611 1627977 1692197 1733433 1801813 2013791 2128893 2266797 2533479 2633419 2656173 3313011 3473457 3882099 4133571 5076591 5405439 6041373 7511543 7900257 9225203 9822787 10978409 14356381 15051647 16822429 17912141 21998561 22534629 23423569 26179283 27675609 29468361 32935227 34234447 43069143 45154941 50467287 53736423 65995683 70270707 78537849 102703341 127696231 142719317 186632953 232857833 285981293 304506397 340330679 383088693 428157951 445047811 559898859 698573499 857943879 913519191 1020992037 1335143433 2426228389 3958583161 4424298827 5785621543 7278685167 11875749483 13272896481 17356864629 75213080059 225639240177