Search a number
-
+
2009229112 = 231189256541
BaseRepresentation
bin111011111000010…
…0110011100111000
312012000201102012001
41313300212130320
513103330312422
6531212430344
7100535110552
oct16760463470
95160642161
102009229112
11941180630
12480a783b4
13260359087
14150bbc4d2
15bb5d7227
hex77c26738

2009229112 has 32 divisors (see below), whose sum is σ = 4155980400. Its totient is φ = 903020800.

The previous prime is 2009229109. The next prime is 2009229121. The reversal of 2009229112 is 2119229002.

It is a super-3 number, since 3×20092291123 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 120439 + ... + 136102.

Almost surely, 22009229112 is an apocalyptic number.

2009229112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2009229112 is an abundant number, since it is smaller than the sum of its proper divisors (2146751288).

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

2009229112 is a wasteful number, since it uses less digits than its factorization.

2009229112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256647 (or 256643 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 2009229112 is about 44824.4253950901. The cubic root of 2009229112 is about 1261.8560686027.

The spelling of 2009229112 in words is "two billion, nine million, two hundred twenty-nine thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 89 178 356 712 979 1958 3916 7832 256541 513082 1026164 2052328 2821951 5643902 11287804 22575608 22832149 45664298 91328596 182657192 251153639 502307278 1004614556 2009229112