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2162112 = 26311261
BaseRepresentation
bin1000001111110111000000
311001211212020
420033313000
51023141422
6114201440
724243351
oct10176700
94054766
102162112
111247477
12883280
135a9174
14403d28
152ca95c
hex20fdc0

2162112 has 28 divisors (see below), whose sum is σ = 5721096. Its totient is φ = 720640.

The previous prime is 2162089. The next prime is 2162113. The reversal of 2162112 is 2112612.

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 = 2162091 and 2162100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2162113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5439 + ... + 5822.

22162112 is an apocalyptic number.

It is an amenable number.

2162112 is an abundant number, since it is smaller than the sum of its proper divisors (3558984).

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

2162112 is a wasteful number, since it uses less digits than its factorization.

2162112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11276 (or 11266 counting only the distinct ones).

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

The square root of 2162112 is about 1470.4121871095. The cubic root of 2162112 is about 129.3081988450.

Adding to 2162112 its product of digits (48), we get a triangular number (2162160 = T2079).

Adding to 2162112 its reverse (2112612), we get a palindrome (4274724).

The spelling of 2162112 in words is "two million, one hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 11261 22522 33783 45044 67566 90088 135132 180176 270264 360352 540528 720704 1081056 2162112