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204301300 = 225271915361
BaseRepresentation
bin11000010110101…
…10001111110100
3112020102120200211
430023112033310
5404300120200
632134515204
75030350420
oct1413261764
9466376624
10204301300
11a5360655
1258505b04
1333432058
141d1c1b80
1512e08aba
hexc2d63f4

204301300 has 72 divisors (see below), whose sum is σ = 533368640. Its totient is φ = 66355200.

The previous prime is 204301297. The next prime is 204301301. The reversal of 204301300 is 3103402.

204301300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204301301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5620 + ... + 20980.

Almost surely, 2204301300 is an apocalyptic number.

204301300 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 204301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266684320).

204301300 is an abundant number, since it is smaller than the sum of its proper divisors (329067340).

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

204301300 is a wasteful number, since it uses less digits than its factorization.

204301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15401 (or 15394 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 204301300 is about 14293.4005750906. The cubic root of 204301300 is about 588.9662065063.

Adding to 204301300 its reverse (3103402), we get a palindrome (207404702).

The spelling of 204301300 in words is "two hundred four million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 13300 15361 30722 61444 76805 107527 153610 215054 291859 307220 384025 430108 537635 583718 768050 1075270 1167436 1459295 1536100 2043013 2150540 2688175 2918590 4086026 5376350 5837180 7296475 8172052 10215065 10752700 14592950 20430130 29185900 40860260 51075325 102150650 204301300