Search a number
-
+
112200222112 = 25111973229813
BaseRepresentation
bin110100001111110100…
…1111000010110100000
3101201121102111211200221
41220133221320112200
53314241224101422
6123313304052424
711051266103116
oct1503751702640
9351542454627
10112200222112
11436471115a0
12198b3764114
13a7712a8694
1456054bbab6
152dba35a3c7
hex1a1fa785a0

112200222112 has 96 divisors (see below), whose sum is σ = 257134288320. Its totient is φ = 47653816320.

The previous prime is 112200222109. The next prime is 112200222157. The reversal of 112200222112 is 211222002211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373318 + ... + 603130.

It is an arithmetic number, because the mean of its divisors is an integer number (2678482170).

Almost surely, 2112200222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112200222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128567144160).

112200222112 is an abundant number, since it is smaller than the sum of its proper divisors (144934066208).

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

112200222112 is a wasteful number, since it uses less digits than its factorization.

112200222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229926 (or 229918 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112200222112 its reverse (211222002211), we get a palindrome (323422224323).

The spelling of 112200222112 in words is "one hundred twelve billion, two hundred million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 73 76 88 146 152 176 209 292 304 352 418 584 608 803 836 1168 1387 1606 1672 2336 2774 3212 3344 5548 6424 6688 11096 12848 15257 22192 25696 30514 44384 61028 122056 229813 244112 459626 488224 919252 1838504 2527943 3677008 4366447 5055886 7354016 8732894 10111772 16776349 17465788 20223544 33552698 34931576 40447088 48030917 67105396 69863152 80894176 96061834 134210792 139726304 184539839 192123668 268421584 318750631 369079678 384247336 536843168 637501262 738159356 768494672 1275002524 1476318712 1536989344 2550005048 2952637424 3506256941 5100010096 5905274848 7012513882 10200020192 14025027764 28050055528 56100111056 112200222112