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112228688 = 241113181271
BaseRepresentation
bin1101011000001…
…11100101010000
321211011210211002
412230013211100
5212212304223
615045241132
72531633225
oct654074520
9254153732
10112228688
1158394090
12317031a8
131a335910
1410c9594c
159cbce28
hex6b07950

112228688 has 80 divisors (see below), whose sum is σ = 257816832. Its totient is φ = 46656000.

The previous prime is 112228657. The next prime is 112228691. The reversal of 112228688 is 886822211.

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, 413993 + ... + 414263.

Almost surely, 2112228688 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 112228688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128908416).

112228688 is an abundant number, since it is smaller than the sum of its proper divisors (145588144).

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

112228688 is a wasteful number, since it uses less digits than its factorization.

112228688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its digits is 24576, while the sum is 38.

The square root of 112228688 is about 10593.8042269999. The cubic root of 112228688 is about 482.3563075385.

The spelling of 112228688 in words is "one hundred twelve million, two hundred twenty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 181 208 271 286 362 542 572 724 1084 1144 1448 1991 2168 2288 2353 2896 2981 3523 3982 4336 4706 5962 7046 7964 9412 11924 14092 15928 18824 23848 25883 28184 31856 37648 38753 47696 49051 51766 56368 77506 98102 103532 155012 196204 207064 310024 392408 414128 539561 620048 637663 784816 1079122 1275326 2158244 2550652 4316488 5101304 7014293 8632976 10202608 14028586 28057172 56114344 112228688