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2220112 = 241967109
BaseRepresentation
bin1000011110000001010000
311011210102101
420132001100
51032020422
6115330144
724604426
oct10360120
94153371
102220112
111287004
128b0954
135c969b
1441b116
152dcc27
hex21e050

2220112 has 40 divisors (see below), whose sum is σ = 4637600. Its totient is φ = 1026432.

The previous prime is 2220089. The next prime is 2220151. The reversal of 2220112 is 2110222.

It is a super-3 number, since 3×22201123 = 32828112077833334784, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20314 + ... + 20422.

It is an arithmetic number, because the mean of its divisors is an integer number (115940).

22220112 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 2220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318800).

2220112 is an abundant number, since it is smaller than the sum of its proper divisors (2417488).

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

2220112 is a wasteful number, since it uses less digits than its factorization.

2220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2220112 is about 1490.0040268402. The cubic root of 2220112 is about 130.4542687538.

Adding to 2220112 its reverse (2110222), we get a palindrome (4330334).

It can be divided in two parts, 2220 and 112, that added together give a palindrome (2332).

The spelling of 2220112 in words is "two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 67 76 109 134 152 218 268 304 436 536 872 1072 1273 1744 2071 2546 4142 5092 7303 8284 10184 14606 16568 20368 29212 33136 58424 116848 138757 277514 555028 1110056 2220112