Search a number
-
+
8220146312 = 237273287257
BaseRepresentation
bin1111010011111010…
…10111101010001000
3210012212122200212102
413221331113222020
5113313324140222
63435402132532
7410463043100
oct75175275210
923185580772
108220146312
113539070654
121714ab1148
13a10032301
1457da12200
153319d3d92
hex1e9f57a88

8220146312 has 48 divisors (see below), whose sum is σ = 18174813660. Its totient is φ = 3474648576.

The previous prime is 8220146243. The next prime is 8220146321. The reversal of 8220146312 is 2136410228.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7634215876 + 585930436 = 87374^2 + 24206^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115013 + ... + 172244.

Almost surely, 28220146312 is an apocalyptic number.

It is an amenable number.

8220146312 is an abundant number, since it is smaller than the sum of its proper divisors (9954667348).

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

8220146312 is a wasteful number, since it uses less digits than its factorization.

8220146312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287350 (or 287339 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 8220146312 is about 90665.0225390145. The cubic root of 8220146312 is about 2018.1797732154.

The spelling of 8220146312 in words is "eight billion, two hundred twenty million, one hundred forty-six thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 196 292 392 511 584 1022 2044 3577 4088 7154 14308 28616 287257 574514 1149028 2010799 2298056 4021598 8043196 14075593 16086392 20969761 28151186 41939522 56302372 83879044 112604744 146788327 167758088 293576654 587153308 1027518289 1174306616 2055036578 4110073156 8220146312