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204445000 = 2354311319
BaseRepresentation
bin11000010111110…
…01010101001000
3112020200212211001
430023321111020
5404314220000
632141544344
75031516364
oct1413712510
9466625731
10204445000
11a5449611
12585750b4
1333482596
141d21c2a4
1512e3646a
hexc2f9548

204445000 has 80 divisors (see below), whose sum is σ = 494841600. Its totient is φ = 79080000.

The previous prime is 204444991. The next prime is 204445001. The reversal of 204445000 is 544402.

204445000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (204445001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 154341 + ... + 155659.

It is an arithmetic number, because the mean of its divisors is an integer number (6185520).

Almost surely, 2204445000 is an apocalyptic number.

204445000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247420800).

204445000 is an abundant number, since it is smaller than the sum of its proper divisors (290396600).

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

204445000 is a wasteful number, since it uses less digits than its factorization.

204445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 204445000 is about 14298.4264868551. The cubic root of 204445000 is about 589.1042617682.

Adding to 204445000 its reverse (544402), we get a palindrome (204989402).

The spelling of 204445000 in words is "two hundred four million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 625 775 1000 1240 1250 1319 1550 2500 2638 3100 3875 5000 5276 6200 6595 7750 10552 13190 15500 19375 26380 31000 32975 38750 40889 52760 65950 77500 81778 131900 155000 163556 164875 204445 263800 327112 329750 408890 659500 817780 824375 1022225 1319000 1635560 1648750 2044450 3297500 4088900 5111125 6595000 8177800 10222250 20444500 25555625 40889000 51111250 102222500 204445000