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110112220 = 225192101151
BaseRepresentation
bin1101001000000…
…10110111011100
321200012021120101
412210002313130
5211142042340
614532030444
72504636611
oct644026734
9250167511
10110112220
1157178a39
1230a62424
1319a7447a
14108a4508
159a00c9a
hex6902ddc

110112220 has 72 divisors (see below), whose sum is σ = 248095008. Its totient is φ = 41040000.

The previous prime is 110112193. The next prime is 110112221. The reversal of 110112220 is 22211011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110112197 and 110112206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110112221) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 729145 + ... + 729295.

It is an arithmetic number, because the mean of its divisors is an integer number (3445764).

Almost surely, 2110112220 is an apocalyptic number.

110112220 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 110112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124047504).

110112220 is an abundant number, since it is smaller than the sum of its proper divisors (137982788).

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

110112220 is a wasteful number, since it uses less digits than its factorization.

110112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 110112220 is about 10493.4369965231. The cubic root of 110112220 is about 479.3048676431.

Adding to 110112220 its reverse (22211011), we get a palindrome (132323231).

It can be divided in two parts, 11011 and 2220, that added together give a palindrome (13231).

The spelling of 110112220 in words is "one hundred ten million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 151 190 202 302 361 380 404 505 604 722 755 1010 1444 1510 1805 1919 2020 2869 3020 3610 3838 5738 7220 7676 9595 11476 14345 15251 19190 28690 30502 36461 38380 54511 57380 61004 72922 76255 109022 145844 152510 182305 218044 272555 289769 305020 364610 545110 579538 729220 1090220 1159076 1448845 2897690 5505611 5795380 11011222 22022444 27528055 55056110 110112220