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205030364 = 2271143113137
BaseRepresentation
bin11000011100010…
…00001111011100
3112021210121210012
430032020033130
5404441432424
632202302352
75036505110
oct1416101734
9467717705
10205030364
11a5809390
12587b79b8
1333628b56
141d331740
1512eeeb0e
hexc3883dc

205030364 has 96 divisors (see below), whose sum is σ = 465163776. Its totient is φ = 76769280.

The previous prime is 205030361. The next prime is 205030411. The reversal of 205030364 is 463030502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205030361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1496504 + ... + 1496640.

It is an arithmetic number, because the mean of its divisors is an integer number (4845456).

Almost surely, 2205030364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205030364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232581888).

205030364 is an abundant number, since it is smaller than the sum of its proper divisors (260133412).

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

205030364 is a wasteful number, since it uses less digits than its factorization.

205030364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 205030364 is about 14318.8813808901. The cubic root of 205030364 is about 589.6659643215.

Adding to 205030364 its reverse (463030502), we get a palindrome (668060866).

The spelling of 205030364 in words is "two hundred five million, thirty thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 113 137 154 172 226 274 301 308 452 473 548 602 791 946 959 1204 1243 1507 1582 1892 1918 2486 3014 3164 3311 3836 4859 4972 5891 6028 6622 8701 9718 10549 11782 13244 15481 17402 19436 21098 23564 30962 34013 34804 41237 42196 53449 61924 64801 68026 82474 106898 108367 129602 136052 164948 170291 213796 216734 259204 340582 374143 433468 453607 665683 681164 748286 907214 1192037 1331366 1496572 1814428 2384074 2662732 4659781 4768148 7322513 9319562 14645026 18639124 29290052 51257591 102515182 205030364