Search a number
-
+
159245226 = 23272295519
BaseRepresentation
bin10010111110111…
…10001110101010
3102002122111101100
421133132032222
5311231321401
623445102230
73642363540
oct1137361652
9362574340
10159245226
1181987328
12453b7976
1326cb805a
1417213d90
15dea8b86
hex97de3aa

159245226 has 48 divisors (see below), whose sum is σ = 396115200. Its totient is φ = 45291744.

The previous prime is 159245201. The next prime is 159245243. The reversal of 159245226 is 622542951.

159245226 is a `hidden beast` number, since 1 + 592 + 45 + 2 + 26 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26095 + ... + 31613.

It is an arithmetic number, because the mean of its divisors is an integer number (8252400).

Almost surely, 2159245226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159245226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198057600).

159245226 is an abundant number, since it is smaller than the sum of its proper divisors (236869974).

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

159245226 is a wasteful number, since it uses less digits than its factorization.

159245226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5763 (or 5760 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 159245226 is about 12619.2403099394. The cubic root of 159245226 is about 542.0285225296.

The spelling of 159245226 in words is "one hundred fifty-nine million, two hundred forty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 229 458 687 1374 1603 2061 3206 4122 4809 5519 9618 11038 14427 16557 28854 33114 38633 49671 77266 99342 115899 231798 347697 695394 1263851 2527702 3791553 7583106 8846957 11374659 17693914 22749318 26540871 53081742 79622613 159245226