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205557594420 = 223537277733343
BaseRepresentation
bin1011111101110000101…
…1111111100100110100
3201122120122212201210210
42333130023333210310
511331440221010140
6234233140345420
720564623503123
oct2773413774464
9648518781723
10205557594420
117a1a39a3142
1233a089a5270
13164cb849b99
149d4024baba
15553131dd80
hex2fdc2ff934

205557594420 has 96 divisors (see below), whose sum is σ = 591347570688. Its totient is φ = 53313057792.

The previous prime is 205557594337. The next prime is 205557594461. The reversal of 205557594420 is 24495755502.

It is a self number, because there is not a number n which added to its sum of digits gives 205557594420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6148269 + ... + 6181611.

It is an arithmetic number, because the mean of its divisors is an integer number (6159870528).

Almost surely, 2205557594420 is an apocalyptic number.

205557594420 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 205557594420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295673785344).

205557594420 is an abundant number, since it is smaller than the sum of its proper divisors (385789976268).

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

205557594420 is a wasteful number, since it uses less digits than its factorization.

205557594420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36169 (or 36167 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 48.

The spelling of 205557594420 in words is "two hundred five billion, five hundred fifty-seven million, five hundred ninety-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 2777 5554 8331 11108 13885 16662 27770 33324 33343 41655 55540 66686 83310 100029 102749 133372 166620 166715 200058 205498 308247 333430 400116 410996 500145 513745 616494 666860 1000290 1027490 1232988 1233691 1541235 2000580 2054980 2467382 3082470 3701073 4934764 6164940 6168455 7402146 12336910 14804292 18505365 24673820 37010730 74021460 92593511 185187022 277780533 370374044 462967555 555561066 925935110 1111122132 1388902665 1851870220 2777805330 3425959907 5555610660 6851919814 10277879721 13703839628 17129799535 20555759442 34259599070 41111518884 51389398605 68519198140 102778797210 205557594420