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205033132 = 222329313767
BaseRepresentation
bin11000011100010…
…00111010101100
3112021210202120201
430032020322230
5404442030012
632202323244
75036516143
oct1416107254
9467722521
10205033132
11a5810477
12587b9524
133362a1a5
141d33275a
1513000857
hexc388eac

205033132 has 96 divisors (see below), whose sum is σ = 416747520. Its totient is φ = 87816960.

The previous prime is 205033121. The next prime is 205033133. The reversal of 205033132 is 231330502.

It is not an unprimeable number, because it can be changed into a prime (205033133) 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, 3060163 + ... + 3060229.

It is an arithmetic number, because the mean of its divisors is an integer number (4341120).

Almost surely, 2205033132 is an apocalyptic number.

It is an amenable number.

205033132 is an abundant number, since it is smaller than the sum of its proper divisors (211714388).

205033132 is a wasteful number, since it uses less digits than its factorization.

205033132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 205033132 is about 14318.9780361589. The cubic root of 205033132 is about 589.6686178928.

Adding to 205033132 its reverse (231330502), we get a palindrome (436363634).

The spelling of 205033132 in words is "two hundred five million, thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 23 29 31 37 46 58 62 67 74 92 116 124 134 148 268 667 713 851 899 1073 1147 1334 1426 1541 1702 1798 1943 2077 2146 2294 2479 2668 2852 3082 3404 3596 3886 4154 4292 4588 4958 6164 7772 8308 9916 20677 24679 26381 33263 41354 44689 47771 49358 52762 57017 60233 66526 71891 76849 82708 89378 95542 98716 105524 114034 120466 133052 143782 153698 178756 191084 228068 240932 287564 307396 765049 1385359 1530098 1653493 1767527 2228621 2770718 3060196 3306986 3535054 4457242 5541436 6613972 7070108 8914484 51258283 102516566 205033132