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1300200228 = 2233591071907
BaseRepresentation
bin100110101111111…
…0111101100100100
310100121120000102000
41031133313230210
510130322401403
6333003445300
744135343135
oct11537675444
93317500360
101300200228
11607a24748
12303526830
131794a8162
14c4973c8c
157922e7a3
hex4d7f7b24

1300200228 has 96 divisors (see below), whose sum is σ = 3461875200. Its totient is φ = 421851168.

The previous prime is 1300200227. The next prime is 1300200247. The reversal of 1300200228 is 8220020031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1300200228.

It is not an unprimeable number, because it can be changed into a prime (1300200227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680851 + ... + 682757.

It is an arithmetic number, because the mean of its divisors is an integer number (36061200).

Almost surely, 21300200228 is an apocalyptic number.

1300200228 is a gapful number since it is divisible by the number (18) 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 1300200228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730937600).

1300200228 is an abundant number, since it is smaller than the sum of its proper divisors (2161674972).

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

1300200228 is a wasteful number, since it uses less digits than its factorization.

1300200228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1300200228 is about 36058.2893105039. The cubic root of 1300200228 is about 1091.4489128549.

Adding to 1300200228 its reverse (8220020031), we get a palindrome (9520220259).

The spelling of 1300200228 in words is "one billion, three hundred million, two hundred thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 107 108 118 177 214 236 321 354 428 531 642 708 963 1062 1284 1593 1907 1926 2124 2889 3186 3814 3852 5721 5778 6313 6372 7628 11442 11556 12626 17163 18939 22884 25252 34326 37878 51489 56817 68652 75756 102978 112513 113634 170451 204049 205956 225026 227268 337539 340902 408098 450052 612147 675078 681804 816196 1012617 1224294 1350156 1836441 2025234 2448588 3037851 3672882 4050468 5509323 6075702 7345764 11018646 12038891 12151404 22037292 24077782 36116673 48155564 72233346 108350019 144466692 216700038 325050057 433400076 650100114 1300200228