Search a number
-
+
200200145430564 = 223352327531287457
BaseRepresentation
bin101101100001010010111010…
…100011010110100000100100
3222020211221120100120101022000
4231201102322203112200210
5202220034344212234224
61545442402132405300
760111661143360366
oct5541227243264044
9866757510511260
10200200145430564
115887644a9856a4
121a554167776830
138792a3c76a136
143761a4b160d36
1518229ea18e0c9
hexb614ba8d6824

200200145430564 has 96 divisors (see below), whose sum is σ = 520219137191040. Its totient is φ = 66581538914304.

The previous prime is 200200145430559. The next prime is 200200145430667. The reversal of 200200145430564 is 465034541002002.

200200145430564 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 0 + 0 + 14 + 54 + 30 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154856724 + ... + 156144180.

It is an arithmetic number, because the mean of its divisors is an integer number (5418949345740).

Almost surely, 2200200145430564 is an apocalyptic number.

It is an amenable number.

200200145430564 is an abundant number, since it is smaller than the sum of its proper divisors (320018991760476).

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

200200145430564 is a wasteful number, since it uses less digits than its factorization.

200200145430564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290746 (or 1290738 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 200200145430564 its reverse (465034541002002), we get a palindrome (665234686432566).

The spelling of 200200145430564 in words is "two hundred trillion, two hundred billion, one hundred forty-five million, four hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 523 1046 1569 2092 2753 3138 4707 5506 6276 8259 9414 11012 14121 16518 18828 24777 28242 33036 49554 56484 74331 99108 148662 297324 1287457 1439819 2574914 2879638 3862371 4319457 5149828 5759276 7724742 8638914 11587113 12958371 15449484 17277828 23174226 25916742 34761339 38875113 46348452 51833484 69522678 77750226 139045356 155500452 673340011 1346680022 2020020033 2693360044 3544369121 4040040066 6060060099 7088738242 8080080132 10633107363 12120120198 14177476484 18180180297 21266214726 24240240396 31899322089 36360360594 42532429452 63798644178 72720721188 95697966267 127597288356 191395932534 382791865068 1853705050283 3707410100566 5561115150849 7414820201132 11122230301698 16683345452547 22244460603396 33366690905094 50050036357641 66733381810188 100100072715282 200200145430564