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112222660 = 22511279587
BaseRepresentation
bin1101011000001…
…10000111000100
321211011111112211
412230012013010
5212212111120
615045153204
72531606524
oct654060704
9254144484
10112222660
115838a600
12316bb804
131a332c54
1410c93684
159cbb25a
hex6b061c4

112222660 has 72 divisors (see below), whose sum is σ = 262765440. Its totient is φ = 40223040.

The previous prime is 112222651. The next prime is 112222687. The reversal of 112222660 is 66222211.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 23 ways as a sum of consecutive naturals, for example, 190887 + ... + 191473.

It is an arithmetic number, because the mean of its divisors is an integer number (3649520).

Almost surely, 2112222660 is an apocalyptic number.

112222660 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 112222660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131382720).

112222660 is an abundant number, since it is smaller than the sum of its proper divisors (150542780).

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

112222660 is a wasteful number, since it uses less digits than its factorization.

112222660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 112222660 is about 10593.5197172611. The cubic root of 112222660 is about 482.3476713157.

Adding to 112222660 its reverse (66222211), we get a palindrome (178444871).

The spelling of 112222660 in words is "one hundred twelve million, two hundred twenty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 121 158 220 242 316 395 484 587 605 790 869 1174 1210 1580 1738 2348 2420 2935 3476 4345 5870 6457 8690 9559 11740 12914 17380 19118 25828 32285 38236 46373 47795 64570 71027 92746 95590 129140 142054 185492 191180 231865 284108 355135 463730 510103 710270 927460 1020206 1420540 2040412 2550515 5101030 5611133 10202060 11222266 22444532 28055665 56111330 112222660