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112224294 = 232713131523
BaseRepresentation
bin1101011000001…
…10100000100110
321211011120210100
412230012200212
5212212134134
615045204530
72531614350
oct654064046
9254146710
10112224294
1158390856
1231700746
131a333910
1410c940d0
159cbb999
hex6b06826

112224294 has 96 divisors (see below), whose sum is σ = 302125824. Its totient is φ = 29315520.

The previous prime is 112224271. The next prime is 112224341. The reversal of 112224294 is 492422211.

112224294 is a `hidden beast` number, since 11 + 222 + 429 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214317 + ... + 214839.

It is an arithmetic number, because the mean of its divisors is an integer number (3147144).

Almost surely, 2112224294 is an apocalyptic number.

112224294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112224294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151062912).

112224294 is an abundant number, since it is smaller than the sum of its proper divisors (189901530).

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

112224294 is a wasteful number, since it uses less digits than its factorization.

112224294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 679 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 112224294 is about 10593.5968396008. The cubic root of 112224294 is about 482.3500123529.

The spelling of 112224294 in words is "one hundred twelve million, two hundred twenty-four thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 131 182 234 262 273 393 523 546 786 819 917 1046 1179 1569 1638 1703 1834 2358 2751 3138 3406 3661 4707 5109 5502 6799 7322 8253 9414 10218 10983 11921 13598 15327 16506 20397 21966 23842 30654 32949 35763 40794 47593 61191 65898 68513 71526 95186 107289 122382 137026 142779 205539 214578 285558 411078 428337 479591 616617 856674 890669 959182 1233234 1438773 1781338 2672007 2877546 4316319 5344014 6234683 8016021 8632638 12469366 16032042 18704049 37408098 56112147 112224294