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2264112 = 24341747
BaseRepresentation
bin1000101000110000110000
311021000210000
420220300300
51034422422
6120310000
725146624
oct10506060
94230700
102264112
111307074
12912300
13613716
1442d184
152eacac
hex228c30

2264112 has 50 divisors (see below), whose sum is σ = 6556748. Its totient is φ = 754272.

The previous prime is 2264099. The next prime is 2264113. The reversal of 2264112 is 2114622.

2264112 is a `hidden beast` number, since 22 + 641 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2264113) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 423 + ... + 2169.

22264112 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 2264112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278374).

2264112 is an abundant number, since it is smaller than the sum of its proper divisors (4292636).

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

2264112 is a wasteful number, since it uses less digits than its factorization.

2264112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1752 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2264112 is about 1504.6966471685. The cubic root of 2264112 is about 131.3104537833.

Adding to 2264112 its reverse (2114622), we get a palindrome (4378734).

The spelling of 2264112 in words is "two million, two hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1747 3494 5241 6988 10482 13976 15723 20964 27952 31446 41928 47169 62892 83856 94338 125784 141507 188676 251568 283014 377352 566028 754704 1132056 2264112