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2234112 = 2832909
BaseRepresentation
bin1000100001011100000000
311012111121220
420201130000
51032442422
6115515040
724663306
oct10413400
94174556
102234112
111296581
128b8a80
13602b7a
14422276
152e1e5c
hex221700

2234112 has 36 divisors (see below), whose sum is σ = 5948040. Its totient is φ = 744448.

The previous prime is 2234107. The next prime is 2234117. The reversal of 2234112 is 2114322.

It is an interprime number because it is at equal distance from previous prime (2234107) and next prime (2234117).

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 = 2234091 and 2234100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234117) 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, 687 + ... + 2222.

22234112 is an apocalyptic number.

It is an amenable number.

2234112 is an abundant number, since it is smaller than the sum of its proper divisors (3713928).

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

2234112 is an equidigital number, since it uses as much as digits as its factorization.

2234112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2928 (or 2914 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 2234112 is about 1494.6946176393. The cubic root of 2234112 is about 130.7279087255.

Adding to 2234112 its reverse (2114322), we get a palindrome (4348434).

It can be divided in two parts, 2234 and 112, that added together give a triangular number (2346 = T68).

The spelling of 2234112 in words is "two million, two hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 2909 5818 8727 11636 17454 23272 34908 46544 69816 93088 139632 186176 279264 372352 558528 744704 1117056 2234112