Search a number
-
+
2195297316 = 22341921372
BaseRepresentation
bin1000001011011001…
…1001010000100100
312122222211122210000
42002312121100210
513443444003231
61001500501300
7105254501502
oct20266312044
95588748700
102195297316
11a27208403
1251324a830
1328ca75cc4
1416b7b5672
15ccadd6e6
hex82d99424

2195297316 has 135 divisors (see below), whose sum is σ = 6101421249. Its totient is φ = 688191552.

The previous prime is 2195297281. The next prime is 2195297323. The reversal of 2195297316 is 6137925912.

It is a happy number.

The square root of 2195297316 is 46854.

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

It can be written as a sum of positive squares in only one way, i.e., 1289528100 + 905769216 = 35910^2 + 30096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16024000 + ... + 16024136.

Almost surely, 22195297316 is an apocalyptic number.

2195297316 is the 46854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2195297316

2195297316 is an abundant number, since it is smaller than the sum of its proper divisors (3906123933).

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

2195297316 is a wasteful number, since it uses less digits than its factorization.

2195297316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 161 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The cubic root of 2195297316 is about 1299.6640780963.

The spelling of 2195297316 in words is "two billion, one hundred ninety-five million, two hundred ninety-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 137 162 171 228 274 324 342 361 411 513 548 684 722 822 1026 1083 1233 1444 1539 1644 2052 2166 2466 2603 3078 3249 3699 4332 4932 5206 6156 6498 7398 7809 9747 10412 11097 12996 14796 15618 18769 19494 22194 23427 29241 31236 37538 38988 44388 46854 49457 56307 58482 70281 75076 93708 98914 112614 116964 140562 148371 168921 197828 210843 225228 281124 296742 337842 356611 421686 445113 506763 593484 675684 713222 843372 890226 1013526 1069833 1335339 1426444 1520289 1780452 2027052 2139666 2670678 3040578 3209499 4006017 4279332 5341356 6081156 6418998 6775609 8012034 9628497 12837996 13551218 16024068 19256994 20326827 27102436 28885491 38513988 40653654 57770982 60980481 81307308 115541964 121960962 182941443 243921924 365882886 548824329 731765772 1097648658 2195297316