Search a number
-
+
200300310 = 23357131809
BaseRepresentation
bin10111111000001…
…01011100010110
3111221220022101000
423330011130112
5402234102220
631513044130
74651344630
oct1374053426
9457808330
10200300310
11a3078651
12570b6646
1332660bc2
141c85da50
15128b8390
hexbf05716

200300310 has 128 divisors (see below), whose sum is σ = 615859200. Its totient is φ = 45377280.

The previous prime is 200300267. The next prime is 200300311. The reversal of 200300310 is 13003002.

It is a happy number.

200300310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2003003102 = 80240428372192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200300292 and 200300301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200300311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247186 + ... + 247994.

It is an arithmetic number, because the mean of its divisors is an integer number (4811400).

Almost surely, 2200300310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200300310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307929600).

200300310 is an abundant number, since it is smaller than the sum of its proper divisors (415558890).

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

200300310 is a wasteful number, since it uses less digits than its factorization.

200300310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 200300310 is about 14152.7492028934. The cubic root of 200300310 is about 585.0961051838.

Adding to 200300310 its reverse (13003002), we get a palindrome (213303312).

The spelling of 200300310 in words is "two hundred million, three hundred thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 131 135 189 210 262 270 315 378 393 630 655 786 809 917 945 1179 1310 1618 1834 1890 1965 2358 2427 2751 3537 3930 4045 4585 4854 5502 5663 5895 7074 7281 8090 8253 9170 11326 11790 12135 13755 14562 16506 16989 17685 21843 24270 24759 27510 28315 33978 35370 36405 41265 43686 49518 50967 56630 72810 82530 84945 101934 105979 109215 123795 152901 169890 211958 218430 247590 254835 305802 317937 509670 529895 635874 741853 764505 953811 1059790 1483706 1529010 1589685 1907622 2225559 2861433 3179370 3709265 4451118 4769055 5722866 6676677 7418530 9538110 11127795 13353354 14307165 20030031 22255590 28614330 33383385 40060062 66766770 100150155 200300310