Search a number
-
+
111768228 = 223311137237
BaseRepresentation
bin1101010100101…
…11001010100100
321210022102012000
412222113022210
5212103040403
615031325300
72525004615
oct652271244
9253272160
10111768228
11580aa140
1231520830
131a204160
1410bb5c0c
159c2b7a3
hex6a972a4

111768228 has 96 divisors (see below), whose sum is σ = 340475520. Its totient is φ = 31259520.

The previous prime is 111768227. The next prime is 111768229. The reversal of 111768228 is 822867111.

It is an interprime number because it is at equal distance from previous prime (111768227) and next prime (111768229).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 111768192 and 111768201.

It is not an unprimeable number, because it can be changed into a prime (111768221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11826 + ... + 19062.

It is an arithmetic number, because the mean of its divisors is an integer number (3546620).

Almost surely, 2111768228 is an apocalyptic number.

111768228 is a gapful number since it is divisible by the number (18) 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 111768228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170237760).

111768228 is an abundant number, since it is smaller than the sum of its proper divisors (228707292).

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

111768228 is a wasteful number, since it uses less digits than its factorization.

111768228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7274 (or 7266 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 111768228 is about 10572.0493755941. The cubic root of 111768228 is about 481.6957211328.

The spelling of 111768228 in words is "one hundred eleven million, seven hundred sixty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 7237 7722 14474 15444 21711 28948 43422 65133 79607 86844 94081 130266 159214 188162 195399 238821 260532 282243 318428 376324 390798 477642 564486 716463 781596 846729 955284 1034891 1128972 1432926 1693458 2069782 2149389 2540187 2865852 3104673 3386916 4139564 4298778 5080374 6209346 8597556 9314019 10160748 12418692 18628038 27942057 37256076 55884114 111768228