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204310000 = 245420431
BaseRepresentation
bin11000010110110…
…00010111110000
3112020110000122001
430023120113300
5404300410000
632135023344
75030414656
oct1413302760
9466400561
10204310000
11a5367144
125850ab54
1333435cbb
141d1c4dd6
1512e0b46a
hexc2d85f0

204310000 has 50 divisors (see below), whose sum is σ = 494679152. Its totient is φ = 81720000.

The previous prime is 204309977. The next prime is 204310003. The reversal of 204310000 is 13402.

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×2043100002 = 83485152200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204310003) 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 9 ways as a sum of consecutive naturals, for example, 216 + ... + 20215.

Almost surely, 2204310000 is an apocalyptic number.

204310000 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 204310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247339576).

204310000 is an abundant number, since it is smaller than the sum of its proper divisors (290369152).

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

204310000 is an equidigital number, since it uses as much as digits as its factorization.

204310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20459 (or 20438 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 204310000 is about 14293.7049081055. The cubic root of 204310000 is about 588.9745665988.

Adding to 204310000 its reverse (13402), we get a palindrome (204323402).

The spelling of 204310000 in words is "two hundred four million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 20431 40862 81724 102155 163448 204310 326896 408620 510775 817240 1021550 1634480 2043100 2553875 4086200 5107750 8172400 10215500 12769375 20431000 25538750 40862000 51077500 102155000 204310000