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112230144 = 2833131249
BaseRepresentation
bin1101011000001…
…11111100000000
321211011212211000
412230013330000
5212212331034
615045252000
72531640405
oct654077400
9254155730
10112230144
1158395194
1231704000
131a336490
1410c962ac
159cbd599
hex6b07f00

112230144 has 144 divisors (see below), whose sum is σ = 357700000. Its totient is φ = 34504704.

The previous prime is 112230121. The next prime is 112230163. The reversal of 112230144 is 441032211.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 89232 + ... + 90480.

Almost surely, 2112230144 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 112230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178850000).

112230144 is an abundant number, since it is smaller than the sum of its proper divisors (245469856).

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

112230144 is a wasteful number, since it uses less digits than its factorization.

112230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112230144 is about 10593.8729461892. The cubic root of 112230144 is about 482.3583934810.

Adding to 112230144 its reverse (441032211), we get a palindrome (553262355).

The spelling of 112230144 in words is "one hundred twelve million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1249 1404 1664 1728 1872 2304 2496 2498 2808 3328 3456 3744 3747 4992 4996 5616 6912 7488 7494 9984 9992 11232 11241 14976 14988 16237 19984 22464 22482 29952 29976 32474 33723 39968 44928 44964 48711 59952 64948 67446 79936 89856 89928 97422 119904 129896 134892 146133 159872 179856 194844 239808 259792 269784 292266 319744 359712 389688 438399 479616 519584 539568 584532 719424 779376 876798 959232 1039168 1079136 1169064 1438848 1558752 1753596 2078336 2158272 2338128 2877696 3117504 3507192 4156672 4316544 4676256 6235008 7014384 8633088 9352512 12470016 14028768 18705024 28057536 37410048 56115072 112230144