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235550205154420 = 225132277557451681
BaseRepresentation
bin110101100011101101001110…
…010011100001010001110100
31010220000101020210111202021221
4311203231032103201101310
5221333223310004420140
62152550134223120124
7100420640445304252
oct6543551623412164
91126011223452257
10235550205154420
1169065310034a12
122250325b143044
13a15839b020300
1442249956315d2
151c37304a8914a
hexd63b4e4e1474

235550205154420 has 144 divisors (see below), whose sum is σ = 538532798913648. Its totient is φ = 86502631587840.

The previous prime is 235550205154361. The next prime is 235550205154471. The reversal of 235550205154420 is 24451502055532.

235550205154420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 226190350219876 + 9359854934544 = 15039626^2 + 3059388^2 .

It is a congruent number.

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, 521270980 + ... + 521722660.

It is an arithmetic number, because the mean of its divisors is an integer number (3739811103567).

Almost surely, 2235550205154420 is an apocalyptic number.

235550205154420 is a gapful number since it is divisible by the number (20) 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 235550205154420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269266399456824).

235550205154420 is an abundant number, since it is smaller than the sum of its proper divisors (302982593759228).

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

235550205154420 is a wasteful number, since it uses less digits than its factorization.

235550205154420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452550 (or 452535 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 43.

The spelling of 235550205154420 in words is "two hundred thirty-five trillion, five hundred fifty billion, two hundred five million, one hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 277 338 554 557 676 845 1108 1114 1385 1690 2228 2770 2785 3380 3601 5540 5570 7202 7241 11140 14404 14482 18005 28964 36010 36205 46813 72020 72410 93626 94133 144820 154289 187252 188266 234065 308578 376532 451681 468130 470665 617156 771445 903362 936260 941330 1542890 1806724 1882660 2005757 2258405 3085780 4011514 4516810 5871853 8023028 9033620 10028785 11743706 20057570 23487412 26074841 29359265 40115140 52149682 58718530 76334089 104299364 117437060 125115637 130374205 152668178 250231274 251586317 260748410 305336356 381670445 500462548 503172634 521496820 625578185 763340890 1006345268 1251156370 1257931585 1526681780 1626503281 2502312740 2515863170 3253006562 3270622121 5031726340 6506013124 6541244242 8132516405 13082488484 16265032810 16353110605 21144542653 32530065620 32706221210 42289085306 42518087573 65412442420 69689409809 84578170612 85036175146 105722713265 139378819618 170072350292 211445426530 212590437865 278757639236 348447049045 422890853060 425180875730 696894098090 850361751460 905962327517 1393788196180 1811924655034 3623849310068 4529811637585 9059623275170 11777510257721 18119246550340 23555020515442 47110041030884 58887551288605 117775102577210 235550205154420