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204041300 = 225218111273
BaseRepresentation
bin11000010100101…
…10110001010100
3112012221101001012
430022112301110
5404213310200
632125151352
75025215411
oct1412266124
9465841035
10204041300
11a51a3281
12583bb558
13333708c8
141d155108
1512da6a35
hexc296c54

204041300 has 36 divisors (see below), whose sum is σ = 445255356. Its totient is φ = 81158400.

The previous prime is 204041237. The next prime is 204041329. The reversal of 204041300 is 3140402.

It can be written as a sum of positive squares in 6 ways, for example, as 67338436 + 136702864 = 8206^2 + 11692^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12464 + ... + 23736.

Almost surely, 2204041300 is an apocalyptic number.

204041300 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 204041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222627678).

204041300 is an abundant number, since it is smaller than the sum of its proper divisors (241214056).

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

204041300 is a wasteful number, since it uses less digits than its factorization.

204041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11468 (or 11461 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 204041300 is about 14284.3025731045. The cubic root of 204041300 is about 588.7162550548.

Adding to 204041300 its reverse (3140402), we get a palindrome (207181702).

The spelling of 204041300 in words is "two hundred four million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 11273 18100 22546 45092 56365 112730 225460 281825 563650 1127300 2040413 4080826 8161652 10202065 20404130 40808260 51010325 102020650 204041300