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205671712 = 25172913037
BaseRepresentation
bin11000100001001…
…00110100100000
3112100000012112211
430100210310200
5410122443322
632224131504
75045115661
oct1420446440
9470005484
10205671712
11a6107224
1258a66b94
13337c1a4c
141d45b368
15130c9b77
hexc424d20

205671712 has 48 divisors (see below), whose sum is σ = 443552760. Its totient is φ = 93442048.

The previous prime is 205671707. The next prime is 205671731. The reversal of 205671712 is 217176502.

It can be written as a sum of positive squares in 4 ways, for example, as 201526416 + 4145296 = 14196^2 + 2036^2 .

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, 9258 + ... + 22294.

Almost surely, 2205671712 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 205671712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221776380).

205671712 is an abundant number, since it is smaller than the sum of its proper divisors (237881048).

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

205671712 is a wasteful number, since it uses less digits than its factorization.

205671712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13093 (or 13085 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 205671712 is about 14341.2590800111. The cubic root of 205671712 is about 590.2801618783.

The spelling of 205671712 in words is "two hundred five million, six hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3944 7888 13037 15776 26074 52148 104296 208592 221629 378073 417184 443258 756146 886516 1512292 1773032 3024584 3546064 6049168 6427241 7092128 12098336 12854482 25708964 51417928 102835856 205671712