Search a number
-
+
217348483308 = 2231115716762801
BaseRepresentation
bin1100101001101011111…
…0101010100011101100
3202210000101111221122020
43022122332222203230
512030112202431213
6243503140150140
721463045424355
oct3123276524354
9683011457566
10217348483308
11841a4609510
1236159698350
131765a587308
14a73c194d2c
1559c1535923
hex329afaa8ec

217348483308 has 96 divisors (see below), whose sum is σ = 560117472768. Its totient is φ = 65050752000.

The previous prime is 217348483291. The next prime is 217348483309. The reversal of 217348483308 is 803384843712.

217348483308 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (217348483309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3429508 + ... + 3492308.

It is an arithmetic number, because the mean of its divisors is an integer number (5834557008).

Almost surely, 2217348483308 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 217348483308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280058736384).

217348483308 is an abundant number, since it is smaller than the sum of its proper divisors (342768989460).

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

217348483308 is a wasteful number, since it uses less digits than its factorization.

217348483308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63143 (or 63141 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 217348483308 in words is "two hundred seventeen billion, three hundred forty-eight million, four hundred eighty-three thousand, three hundred eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 157 167 314 334 471 501 628 668 942 1002 1727 1837 1884 2004 3454 3674 5181 5511 6908 7348 10362 11022 20724 22044 26219 52438 62801 78657 104876 125602 157314 188403 251204 288409 314628 376806 576818 690811 753612 865227 1153636 1381622 1730454 2072433 2763244 3460908 4144866 8289732 9859757 10487767 19719514 20975534 29579271 31463301 39439028 41951068 59158542 62926602 108457327 115365437 118317084 125853204 216914654 230730874 325371981 346096311 433829308 461461748 650743962 692192622 1301487924 1384385244 1646579419 3293158838 4939738257 6586317676 9879476514 18112373609 19758953028 36224747218 54337120827 72449494436 108674241654 217348483308