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205355150 = 252711213373
BaseRepresentation
bin11000011110101…
…11100010001110
3112022102010022022
430033113202032
5410032331100
632213250142
75042330030
oct1417274216
9468363268
10205355150
11a5a10400
1258933952
1333710930
141d3b7c50
1513065e85
hexc3d788e

205355150 has 144 divisors (see below), whose sum is σ = 518112672. Its totient is φ = 58924800.

The previous prime is 205355147. The next prime is 205355159. The reversal of 205355150 is 51553502.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205355159) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 550364 + ... + 550736.

Almost surely, 2205355150 is an apocalyptic number.

205355150 is an abundant number, since it is smaller than the sum of its proper divisors (312757522).

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

205355150 is a wasteful number, since it uses less digits than its factorization.

205355150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 26.

The square root of 205355150 is about 14330.2180723114. The cubic root of 205355150 is about 589.9771608510.

The spelling of 205355150 in words is "two hundred five million, three hundred fifty-five thousand, one hundred fifty".

Divisors: 1 2 5 7 10 11 13 14 22 25 26 35 50 55 65 70 77 91 110 121 130 143 154 175 182 242 275 286 325 350 373 385 455 550 605 650 715 746 770 847 910 1001 1210 1430 1573 1694 1865 1925 2002 2275 2611 3025 3146 3575 3730 3850 4103 4235 4550 4849 5005 5222 6050 7150 7865 8206 8470 9325 9698 10010 11011 13055 15730 18650 20515 21175 22022 24245 25025 26110 28721 33943 39325 41030 42350 45133 48490 50050 53339 55055 57442 65275 67886 78650 90266 102575 106678 110110 121225 130550 143605 169715 205150 225665 242450 266695 275275 287210 315931 339430 373373 451330 533390 550550 586729 631862 718025 746746 848575 1128325 1173458 1333475 1436050 1579655 1697150 1866865 2256650 2666950 2933645 3159310 3733730 4107103 5867290 7898275 8214206 9334325 14668225 15796550 18668650 20535515 29336450 41071030 102677575 205355150