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204194688 = 2732831879
BaseRepresentation
bin11000010101111…
…00001110000000
3112020020011110020
430022330032000
5404233212223
632132333440
75026424535
oct1412741600
9466204406
10204194688
11a5298545
1258474280
13333c5679
141d194d8c
1512dd71e3
hexc2bc380

204194688 has 64 divisors (see below), whose sum is σ = 544598400. Its totient is φ = 67788288.

The previous prime is 204194681. The next prime is 204194707. The reversal of 204194688 is 886491402.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204194681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107733 + ... + 109611.

It is an arithmetic number, because the mean of its divisors is an integer number (8509350).

Almost surely, 2204194688 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 204194688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272299200).

204194688 is an abundant number, since it is smaller than the sum of its proper divisors (340403712).

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

204194688 is a wasteful number, since it uses less digits than its factorization.

204194688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 204194688 is about 14289.6706750016. The cubic root of 204194688 is about 588.8637405397.

The spelling of 204194688 in words is "two hundred four million, one hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 283 384 566 849 1132 1698 1879 2264 3396 3758 4528 5637 6792 7516 9056 11274 13584 15032 18112 22548 27168 30064 36224 45096 54336 60128 90192 108672 120256 180384 240512 360768 531757 721536 1063514 1595271 2127028 3190542 4254056 6381084 8508112 12762168 17016224 25524336 34032448 51048672 68064896 102097344 204194688