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112225248 = 25321920509
BaseRepresentation
bin1101011000001…
…10101111100000
321211011122002200
412230012233200
5212212201443
615045213200
72531620212
oct654065740
9254148080
10112225248
1158391543
1231701200
131a334195
1410c945b2
159cbbdd3
hex6b06be0

112225248 has 72 divisors (see below), whose sum is σ = 335953800. Its totient is φ = 35437824.

The previous prime is 112225207. The next prime is 112225271. The reversal of 112225248 is 842522211.

112225248 is a `hidden beast` number, since 112 + 22 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 4783 + ... + 15726.

It is an arithmetic number, because the mean of its divisors is an integer number (4666025).

Almost surely, 2112225248 is an apocalyptic number.

112225248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

112225248 is an abundant number, since it is smaller than the sum of its proper divisors (223728552).

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

112225248 is a wasteful number, since it uses less digits than its factorization.

112225248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20544 (or 20533 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 112225248 is about 10593.6418667048. The cubic root of 112225248 is about 482.3513791413.

Adding to 112225248 its reverse (842522211), we get a palindrome (954747459).

The spelling of 112225248 in words is "one hundred twelve million, two hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 20509 41018 61527 82036 123054 164072 184581 246108 328144 369162 389671 492216 656288 738324 779342 984432 1169013 1476648 1558684 1968864 2338026 2953296 3117368 3507039 4676052 5906592 6234736 7014078 9352104 12469472 14028156 18704208 28056312 37408416 56112624 112225248