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205481664 = 2633118913
BaseRepresentation
bin11000011111101…
…10011011000000
3112022122112212000
430033312123000
5410100403124
632220104000
75043364623
oct1417663300
9468575760
10205481664
11a5a97463
1258995000
13337563ab
141d40bdba
151308d6c9
hexc3f66c0

205481664 has 56 divisors (see below), whose sum is σ = 604083120. Its totient is φ = 68493312.

The previous prime is 205481659. The next prime is 205481681. The reversal of 205481664 is 466184502.

205481664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57729 + ... + 61184.

Almost surely, 2205481664 is an apocalyptic number.

205481664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

205481664 is an abundant number, since it is smaller than the sum of its proper divisors (398601456).

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

205481664 is a wasteful number, since it uses less digits than its factorization.

205481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118934 (or 118918 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 205481664 is about 14334.6316311233. The cubic root of 205481664 is about 590.0982925389.

The spelling of 205481664 in words is "two hundred five million, four hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 118913 237826 356739 475652 713478 951304 1070217 1426956 1902608 2140434 2853912 3210651 3805216 4280868 5707824 6421302 7610432 8561736 11415648 12842604 17123472 22831296 25685208 34246944 51370416 68493888 102740832 205481664