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2216112 = 243137337
BaseRepresentation
bin1000011101000010110000
311011120221020
420131002300
51031403422
6115255440
724556653
oct10350260
94146836
102216112
111283aa8
128aa580
135c7912
1441989a
152db95c
hex21d0b0

2216112 has 40 divisors (see below), whose sum is σ = 5783856. Its totient is φ = 731136.

The previous prime is 2216101. The next prime is 2216113. The reversal of 2216112 is 2116122.

2216112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22161122 = 9822304793088, which contains 22 as substring.

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 = 2216091 and 2216100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6408 + ... + 6744.

22216112 is an apocalyptic number.

It is an amenable number.

2216112 is an abundant number, since it is smaller than the sum of its proper divisors (3567744).

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

2216112 is a wasteful number, since it uses less digits than its factorization.

2216112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 2216112 is about 1488.6611434440. The cubic root of 2216112 is about 130.3758746943.

The spelling of 2216112 in words is "two million, two hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 274 337 411 548 674 822 1011 1096 1348 1644 2022 2192 2696 3288 4044 5392 6576 8088 16176 46169 92338 138507 184676 277014 369352 554028 738704 1108056 2216112