Search a number
-
+
204001664 = 275330071
BaseRepresentation
bin11000010100011…
…01000110000000
3112012212100200012
430022031012000
5404211023124
632124244052
75024662016
oct1412150600
9465770605
10204001664
11a5176519
12583a0628
1333358859
141d1448b6
1512d99e0e
hexc28d180

204001664 has 32 divisors (see below), whose sum is σ = 414091440. Its totient is φ = 100072960.

The previous prime is 204001663. The next prime is 204001687. The reversal of 204001664 is 466100402.

It is a happy number.

204001664 is digitally balanced in base 3, because in such base 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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204001663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8252 + ... + 21819.

Almost surely, 2204001664 is an apocalyptic number.

It is an amenable number.

204001664 is an abundant number, since it is smaller than the sum of its proper divisors (210089776).

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

204001664 is an equidigital number, since it uses as much as digits as its factorization.

204001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30138 (or 30126 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 204001664 is about 14282.9151086184. The cubic root of 204001664 is about 588.6781322685.

The spelling of 204001664 in words is "two hundred four million, one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 30071 60142 120284 240568 481136 962272 1593763 1924544 3187526 3849088 6375052 12750104 25500208 51000416 102000832 204001664