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2273112 = 2332131241
BaseRepresentation
bin1000101010111101011000
311021111010100
420222331120
51040214422
6120415400
725215102
oct10527530
94244110
102273112
111312906
12917560
1361784a
14432572
152ed7ac
hex22af58

2273112 has 48 divisors (see below), whose sum is σ = 6229080. Its totient is φ = 748800.

The previous prime is 2273101. The next prime is 2273119. The reversal of 2273112 is 2113722.

2273112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2273119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9312 + ... + 9552.

22273112 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 2273112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114540).

2273112 is an abundant number, since it is smaller than the sum of its proper divisors (3955968).

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

2273112 is a wasteful number, since it uses less digits than its factorization.

2273112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 2273112 is about 1507.6843170903. The cubic root of 2273112 is about 131.4842130952.

Adding to 2273112 its reverse (2113722), we get a palindrome (4386834).

The spelling of 2273112 in words is "two million, two hundred seventy-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 241 262 393 482 524 723 786 964 1048 1179 1446 1572 1928 2169 2358 2892 3144 4338 4716 5784 8676 9432 17352 31571 63142 94713 126284 189426 252568 284139 378852 568278 757704 1136556 2273112