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2198231145 = 325115975269
BaseRepresentation
bin1000001100000110…
…0101100001101001
312200012100201020100
42003001211201221
514000221344040
61002043420013
7105321441105
oct20301454151
95605321210
102198231145
11a28931660
12514224609
132905624b6
1416bd3a905
15ccebcb30
hex83065869

2198231145 has 48 divisors (see below), whose sum is σ = 4227163200. Its totient is φ = 1047730560.

The previous prime is 2198231137. The next prime is 2198231177. The reversal of 2198231145 is 5411328912.

It is not a de Polignac number, because 2198231145 - 23 = 2198231137 is a prime.

It is a super-2 number, since 2×21982311452 = 9664440333696022050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8430 + ... + 66839.

It is an arithmetic number, because the mean of its divisors is an integer number (88065900).

Almost surely, 22198231145 is an apocalyptic number.

It is an amenable number.

2198231145 is a deficient number, since it is larger than the sum of its proper divisors (2028932055).

2198231145 is a wasteful number, since it uses less digits than its factorization.

2198231145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75350 (or 75347 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 2198231145 is about 46885.2977488679. The cubic root of 2198231145 is about 1300.2427840441.

The spelling of 2198231145 in words is "two billion, one hundred ninety-eight million, two hundred thirty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 59 99 165 177 295 495 531 649 885 1947 2655 3245 5841 9735 29205 75269 225807 376345 677421 827959 1129035 2483877 3387105 4139795 4440871 7451631 12419385 13322613 22204355 37258155 39967839 48849581 66613065 146548743 199839195 244247905 439646229 732743715 2198231145