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112227248 = 2472433329
BaseRepresentation
bin1101011000001…
…11001110110000
321211011201211202
412230013032300
5212212232443
615045230332
72531626100
oct654071660
9254151752
10112227248
1158392aa1
12317023a8
131a335073
1410c95200
159cbc7b8
hex6b073b0

112227248 has 60 divisors (see below), whose sum is σ = 258900840. Its totient is φ = 46964736.

The previous prime is 112227239. The next prime is 112227257. The reversal of 112227248 is 842722211.

It is an interprime number because it is at equal distance from previous prime (112227239) and next prime (112227257).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112227248.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 32048 + ... + 35376.

It is an arithmetic number, because the mean of its divisors is an integer number (4315014).

Almost surely, 2112227248 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 112227248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129450420).

112227248 is an abundant number, since it is smaller than the sum of its proper divisors (146673592).

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

112227248 is a wasteful number, since it uses less digits than its factorization.

112227248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3381 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 112227248 is about 10593.7362625280. The cubic root of 112227248 is about 482.3542445008.

Adding to 112227248 its reverse (842722211), we get a palindrome (954949459).

The spelling of 112227248 in words is "one hundred twelve million, two hundred twenty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 86 98 112 172 196 301 344 392 602 688 784 1204 2107 2408 3329 4214 4816 6658 8428 13316 16856 23303 26632 33712 46606 53264 93212 143147 163121 186424 286294 326242 372848 572588 652484 1002029 1145176 1304968 2004058 2290352 2609936 4008116 7014203 8016232 14028406 16032464 28056812 56113624 112227248