Search a number
-
+
204501000 = 23353116197
BaseRepresentation
bin11000011000001…
…11000000001000
3112020210201122010
430030013000020
5404323013000
632143055520
75032141554
oct1414070010
9466721563
10204501000
11a54876a0
12585a15a0
13334a1c12
141d234864
1512e47d50
hexc307008

204501000 has 128 divisors (see below), whose sum is σ = 696159360. Its totient is φ = 49568000.

The previous prime is 204500969. The next prime is 204501001. The reversal of 204501000 is 105402.

204501000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204501001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29902 + ... + 36098.

It is an arithmetic number, because the mean of its divisors is an integer number (5438745).

Almost surely, 2204501000 is an apocalyptic number.

204501000 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 204501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348079680).

204501000 is an abundant number, since it is smaller than the sum of its proper divisors (491658360).

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

204501000 is a wasteful number, since it uses less digits than its factorization.

204501000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 204501000 is about 14300.3846102124. The cubic root of 204501000 is about 589.1580444922.

Adding to 204501000 its reverse (105402), we get a palindrome (204606402).

The spelling of 204501000 in words is "two hundred four million, five hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6197 6600 8250 11000 12394 16500 18591 24788 30985 33000 37182 49576 61970 68167 74364 92955 123940 136334 148728 154925 185910 204501 247880 272668 309850 340835 371820 409002 464775 545336 619700 681670 743640 774625 818004 929550 1022505 1239400 1363340 1549250 1636008 1704175 1859100 2045010 2323875 2726680 3098500 3408350 3718200 4090020 4647750 5112525 6197000 6816700 8180040 8520875 9295500 10225050 13633400 17041750 18591000 20450100 25562625 34083500 40900200 51125250 68167000 102250500 204501000