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204996608 = 2191723
BaseRepresentation
bin11000011100000…
…00000000000000
3112021201220110222
430032000000000
5404434342413
632201442212
75036304515
oct1416000000
9467656428
10204996608
11a5795a93
12587a0368
133361668b
141d32330c
1512ee4b08
hexc380000

204996608 has 80 divisors (see below), whose sum is σ = 452984400. Its totient is φ = 92274688.

The previous prime is 204996607. The next prime is 204996611. The reversal of 204996608 is 806699402.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204996601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8912885 + ... + 8912907.

It is an arithmetic number, because the mean of its divisors is an integer number (5662305).

Almost surely, 2204996608 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 204996608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226492200).

204996608 is an abundant number, since it is smaller than the sum of its proper divisors (247987792).

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

204996608 is an frugal number, since it uses more digits than its factorization.

204996608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 204996608 is about 14317.7026090082. The cubic root of 204996608 is about 589.6336018682.

The spelling of 204996608 in words is "two hundred four million, nine hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 256 272 368 391 512 544 736 782 1024 1088 1472 1564 2048 2176 2944 3128 4096 4352 5888 6256 8192 8704 11776 12512 16384 17408 23552 25024 32768 34816 47104 50048 65536 69632 94208 100096 131072 139264 188416 200192 262144 278528 376832 400384 524288 557056 753664 800768 1114112 1507328 1601536 2228224 3014656 3203072 4456448 6029312 6406144 8912896 12058624 12812288 25624576 51249152 102498304 204996608