Search a number
-
+
2118228112 = 2471113132257
BaseRepresentation
bin111111001000001…
…1001100010010000
312110121211010201001
41332100121202100
513314231244422
6550104551344
7103330433110
oct17620314220
95417733631
102118228112
11997759150
124b1482554
13279b00920
14161473040
15c5e68227
hex7e419890

2118228112 has 80 divisors (see below), whose sum is σ = 5510397312. Its totient is φ = 761794560.

The previous prime is 2118228107. The next prime is 2118228127.

2118228112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50113 + ... + 82144.

Almost surely, 22118228112 is an apocalyptic number.

2118228112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2118228112 is an abundant number, since it is smaller than the sum of its proper divisors (3392169200).

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

2118228112 is a wasteful number, since it uses less digits than its factorization.

2118228112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132296 (or 132290 counting only the distinct ones).

The product of its digits is 1024, while the sum is 28.

The square root of 2118228112 is about 46024.2122366043. The cubic root of 2118228112 is about 1284.2736611926.

It can be divided in two parts, 21182 and 28112, that added together give a palindrome (49294).

The spelling of 2118228112 in words is "two billion, one hundred eighteen million, two hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 16016 132257 264514 529028 925799 1058056 1454827 1719341 1851598 2116112 2909654 3438682 3703196 5819308 6877364 7406392 10183789 11638616 12035387 13754728 14812784 18912751 20367578 23277232 24070774 27509456 37825502 40735156 48141548 75651004 81470312 96283096 132389257 151302008 162940624 192566192 264778514 302604016 529557028 1059114056 2118228112