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204994656 = 25321136299
BaseRepresentation
bin11000011011111…
…11100001100000
3112021201210210200
430031333201200
5404434312111
632201425200
75036266026
oct1415774140
9467653720
10204994656
11a5794579
125879b200
1333615819
141d322716
1512ee4256
hexc37f860

204994656 has 72 divisors (see below), whose sum is σ = 588205800. Its totient is φ = 67716096.

The previous prime is 204994633. The next prime is 204994663. The reversal of 204994656 is 656499402.

204994656 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29395 + ... + 35693.

It is an arithmetic number, because the mean of its divisors is an integer number (8169525).

Almost surely, 2204994656 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 204994656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294102900).

204994656 is an abundant number, since it is smaller than the sum of its proper divisors (383211144).

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

204994656 is a wasteful number, since it uses less digits than its factorization.

204994656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6428 (or 6417 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 204994656 is about 14317.6344414851. The cubic root of 204994656 is about 589.6317303438.

The spelling of 204994656 in words is "two hundred four million, nine hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 452 678 904 1017 1356 1808 2034 2712 3616 4068 5424 6299 8136 10848 12598 16272 18897 25196 32544 37794 50392 56691 75588 100784 113382 151176 201568 226764 302352 453528 604704 711787 907056 1423574 1814112 2135361 2847148 4270722 5694296 6406083 8541444 11388592 12812166 17082888 22777184 25624332 34165776 51248664 68331552 102497328 204994656