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2268112 = 247211263
BaseRepresentation
bin1000101001101111010000
311021020021011
420221233100
51040034422
6120340304
725164400
oct10515720
94236234
102268112
11130a080
12914694
136154a2
14430800
152ec077
hex229bd0

2268112 has 60 divisors (see below), whose sum is σ = 5597856. Its totient is φ = 880320.

The previous prime is 2268103. The next prime is 2268131. The reversal of 2268112 is 2118622.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8493 + ... + 8755.

22268112 is an apocalyptic number.

2268112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2268112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798928).

2268112 is an abundant number, since it is smaller than the sum of its proper divisors (3329744).

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

2268112 is a wasteful number, since it uses less digits than its factorization.

2268112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 283 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 2268112 is about 1506.0252321923. The cubic root of 2268112 is about 131.3877368865.

It can be divided in two parts, 2268 and 112, that multiplied together give a square (254016 = 5042).

The spelling of 2268112 in words is "two million, two hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 263 308 392 526 539 616 784 1052 1078 1232 1841 2104 2156 2893 3682 4208 4312 5786 7364 8624 11572 12887 14728 20251 23144 25774 29456 40502 46288 51548 81004 103096 141757 162008 206192 283514 324016 567028 1134056 2268112