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218230798032 = 243213277420853
BaseRepresentation
bin1100101100111110010…
…0011011011011010000
3202212021212202011220100
43023033210123123100
512033414041014112
6244130455212400
721523651114452
oct3131744333320
9685255664810
10218230798032
1184607661635
1236365077100
131776b2cb030
14a7c342a2d2
155a23c1c2dc
hex32cf91b6d0

218230798032 has 120 divisors (see below), whose sum is σ = 660099398504. Its totient is φ = 66905367552.

The previous prime is 218230798007. The next prime is 218230798033. The reversal of 218230798032 is 230897032812.

It can be written as a sum of positive squares in 4 ways, for example, as 7847125056 + 210383672976 = 88584^2 + 458676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218230798033) 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, 308118 + ... + 728970.

Almost surely, 2218230798032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218230798032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330049699252).

218230798032 is an abundant number, since it is smaller than the sum of its proper divisors (441868600472).

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

218230798032 is a wasteful number, since it uses less digits than its factorization.

218230798032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421157 (or 421148 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 218230798032 in words is "two hundred eighteen billion, two hundred thirty million, seven hundred ninety-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 277 312 468 554 624 831 936 1108 1662 1872 2216 2493 3324 3601 4432 4986 6648 7202 9972 10803 13296 14404 19944 21606 28808 32409 39888 43212 57616 64818 86424 129636 172848 259272 420853 518544 841706 1262559 1683412 2525118 3366824 3787677 5050236 5471089 6733648 7575354 10100472 10942178 15150708 16413267 20200944 21884356 30301416 32826534 43768712 49239801 60602832 65653068 87537424 98479602 116576281 131306136 196959204 233152562 262612272 349728843 393918408 466305124 699457686 787836816 932610248 1049186529 1398915372 1515491653 1865220496 2098373058 2797830744 3030983306 4196746116 4546474959 5595661488 6061966612 8393492232 9092949918 12123933224 13639424877 16786984464 18185899836 24247866448 27278849754 36371799672 54557699508 72743599344 109115399016 218230798032