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205135216 = 24111389657
BaseRepresentation
bin11000011101000…
…01110101110000
3112021222221121121
430032201311300
5410003311331
632204432024
75040422566
oct1416416560
9467887547
10205135216
11a5880140
1258848614
13336647b0
141d35ba36
1513020c11
hexc3a1d70

205135216 has 40 divisors (see below), whose sum is σ = 466938864. Its totient is φ = 86069760.

The previous prime is 205135207. The next prime is 205135237. The reversal of 205135216 is 612531502.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 42541 + ... + 47116.

Almost surely, 2205135216 is an apocalyptic number.

205135216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

205135216 is an abundant number, since it is smaller than the sum of its proper divisors (261803648).

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

205135216 is a wasteful number, since it uses less digits than its factorization.

205135216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89689 (or 89683 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 205135216 is about 14322.5422324390. The cubic root of 205135216 is about 589.7664650766.

Adding to 205135216 its reverse (612531502), we get a palindrome (817666718).

The spelling of 205135216 in words is "two hundred five million, one hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 89657 179314 358628 717256 986227 1165541 1434512 1972454 2331082 3944908 4662164 7889816 9324328 12820951 15779632 18648656 25641902 51283804 102567608 205135216