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112225840 = 24517179461
BaseRepresentation
bin1101011000001…
…10111000110000
321211011122220121
412230012320300
5212212211330
615045220024
72531622016
oct654067060
9254148817
10112225840
1158391a31
1231701614
131a33452c
1410c948b6
159cbc17a
hex6b06e30

112225840 has 80 divisors (see below), whose sum is σ = 278419680. Its totient is φ = 41922560.

The previous prime is 112225819. The next prime is 112225873. The reversal of 112225840 is 48522211.

It is a tau number, because it is divible by the number of its divisors (80).

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, 243210 + ... + 243670.

It is an arithmetic number, because the mean of its divisors is an integer number (3480246).

Almost surely, 2112225840 is an apocalyptic number.

112225840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112225840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139209840).

112225840 is an abundant number, since it is smaller than the sum of its proper divisors (166193840).

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

112225840 is a wasteful number, since it uses less digits than its factorization.

112225840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 112225840 is about 10593.6698079561. The cubic root of 112225840 is about 482.3522272913.

It can be divided in two parts, 1122 and 25840, that added together give a palindrome (26962).

The spelling of 112225840 in words is "one hundred twelve million, two hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 179 272 340 358 461 680 716 895 922 1360 1432 1790 1844 2305 2864 3043 3580 3688 4610 6086 7160 7376 7837 9220 12172 14320 15215 15674 18440 24344 30430 31348 36880 39185 48688 60860 62696 78370 82519 121720 125392 156740 165038 243440 313480 330076 412595 626960 660152 825190 1320304 1402823 1650380 2805646 3300760 5611292 6601520 7014115 11222584 14028230 22445168 28056460 56112920 112225840