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2212112 = 24719751
BaseRepresentation
bin1000011100000100010000
311011101110002
420130010100
51031241422
6115225132
724542210
oct10340420
94141402
102212112
111280aa1
128a81a8
135c5b56
14418240
152da692
hex21c110

2212112 has 20 divisors (see below), whose sum is σ = 4898496. Its totient is φ = 948000.

The previous prime is 2212099. The next prime is 2212123. The reversal of 2212112 is 2112122.

It is a happy number.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2212093 and 2212102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9764 + ... + 9987.

22212112 is an apocalyptic number.

It is an amenable number.

2212112 is an abundant number, since it is smaller than the sum of its proper divisors (2686384).

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

2212112 is a wasteful number, since it uses less digits than its factorization.

2212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19766 (or 19760 counting only the distinct ones).

The product of its digits is 16, while the sum is 11.

The square root of 2212112 is about 1487.3170475726. The cubic root of 2212112 is about 130.2973862456.

Adding to 2212112 its reverse (2112122), we get a palindrome (4324234).

The spelling of 2212112 in words is "two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 19751 39502 79004 138257 158008 276514 316016 553028 1106056 2212112