Search a number
-
+
112230300 = 223527134111
BaseRepresentation
bin1101011000001…
…11111110011100
321211011220000210
412230013332130
5212212332200
615045252420
72531641020
oct654077634
9254156023
10112230300
1158395316
1231704110
131a336580
1410c96380
159cbd650
hex6b07f9c

112230300 has 144 divisors (see below), whose sum is σ = 399752192. Its totient is φ = 23673600.

The previous prime is 112230299. The next prime is 112230329. The reversal of 112230300 is 3032211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25245 + ... + 29355.

Almost surely, 2112230300 is an apocalyptic number.

112230300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199876096).

112230300 is an abundant number, since it is smaller than the sum of its proper divisors (287521892).

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

112230300 is a wasteful number, since it uses less digits than its factorization.

112230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 112230300 is about 10593.8803089331. The cubic root of 112230300 is about 482.3586169737.

Adding to 112230300 its reverse (3032211), we get a palindrome (115262511).

The spelling of 112230300 in words is "one hundred twelve million, two hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4111 4550 5460 6825 8222 9100 12333 13650 16444 20555 24666 27300 28777 41110 49332 53443 57554 61665 82220 86331 102775 106886 115108 123330 143885 160329 172662 205550 213772 246660 267215 287770 308325 320658 345324 374101 411100 431655 534430 575540 616650 641316 719425 748202 801645 863310 1068860 1122303 1233300 1336075 1438850 1496404 1603290 1726620 1870505 2158275 2244606 2672150 2877700 3206580 3741010 4008225 4316550 4489212 5344300 5611515 7482020 8016450 8633100 9352525 11223030 16032900 18705050 22446060 28057575 37410100 56115150 112230300