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205222050 = 232521123769
BaseRepresentation
bin11000011101101…
…11000010100010
3112022011100201200
430032313002202
5410014101200
632210342030
75041234005
oct1416670242
9468140650
10205222050
11a592a400
125888a916
1333695187
141d38153c
151303b800
hexc3b70a2

205222050 has 108 divisors (see below), whose sum is σ = 606204690. Its totient is φ = 49737600.

The previous prime is 205222049. The next prime is 205222063. The reversal of 205222050 is 50222502.

It can be written as a sum of positive squares in 3 ways, for example, as 180391761 + 24830289 = 13431^2 + 4983^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 52566 + ... + 56334.

Almost surely, 2205222050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205222050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303102345).

205222050 is an abundant number, since it is smaller than the sum of its proper divisors (400982640).

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

205222050 is a wasteful number, since it uses less digits than its factorization.

205222050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 205222050 is about 14325.5732869578. The cubic root of 205222050 is about 589.8496696378.

Adding to 205222050 its reverse (50222502), we get a palindrome (255444552).

The spelling of 205222050 in words is "two hundred five million, two hundred twenty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 121 150 165 198 225 242 275 330 363 450 495 550 605 726 825 990 1089 1210 1650 1815 2178 2475 3025 3630 3769 4950 5445 6050 7538 9075 10890 11307 18150 18845 22614 27225 33921 37690 41459 54450 56535 67842 82918 94225 113070 124377 169605 188450 207295 248754 282675 339210 373131 414590 456049 565350 621885 746262 848025 912098 1036475 1243770 1368147 1696050 1865655 2072950 2280245 2736294 3109425 3731310 4104441 4560490 6218850 6840735 8208882 9328275 11401225 13681470 18656550 20522205 22802450 34203675 41044410 68407350 102611025 205222050