Search a number
-
+
195822180324 = 223213125632
BaseRepresentation
bin1011011001011111101…
…0010101011111100100
3200201110011222110022100
42312113322111133210
511202020434232244
6225543124532100
720101441032501
oct2662772253744
9621404873270
10195822180324
1176058574471
1231b50551030
131560990b124
1496992c04a8
1551617c6b69
hex2d97e957e4

195822180324 has 81 divisors (see below), whose sum is σ = 499689933379. Its totient is φ = 64660730160.

The previous prime is 195822180271. The next prime is 195822180331. The reversal of 195822180324 is 423081228591.

The square root of 195822180324 is 442518.

It is a perfect power (a square), and thus also a powerful number.

195822180324 is a `hidden beast` number, since 19 + 582 + 21 + 8 + 0 + 32 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 195822180324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 347818867 + ... + 347819429.

Almost surely, 2195822180324 is an apocalyptic number.

195822180324 is the 442518-th square number.

It is an amenable number.

195822180324 is an abundant number, since it is smaller than the sum of its proper divisors (303867753055).

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

195822180324 is an equidigital number, since it uses as much as digits as its factorization.

195822180324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 195822180324 in words is "one hundred ninety-five billion, eight hundred twenty-two million, one hundred eighty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 563 786 1126 1179 1572 1689 2252 2358 3378 4716 5067 6756 10134 17161 20268 34322 51483 68644 73753 102966 147506 154449 205932 221259 295012 308898 316969 442518 617796 633938 663777 885036 950907 1267876 1327554 1901814 2655108 2852721 3803628 5705442 9661643 11410884 19323286 28984929 38646572 41522939 57969858 83045878 86954787 115939716 124568817 166091756 173909574 249137634 347819148 373706451 498275268 747412902 1494825804 5439505009 10879010018 16318515027 21758020036 32637030054 48955545081 65274060108 97911090162 195822180324