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2244312 = 233276173
BaseRepresentation
bin1000100011111011011000
311020000121200
420203323120
51033304222
6120034200
725035120
oct10437330
94200550
102244312
1112a3204
12902960
136076c5
14425c80
152e4eac
hex223ed8

2244312 has 96 divisors (see below), whose sum is σ = 7157280. Its totient is φ = 622080.

The previous prime is 2244287. The next prime is 2244331. The reversal of 2244312 is 2134422.

2244312 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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30708 + ... + 30780.

It is an arithmetic number, because the mean of its divisors is an integer number (74555).

22244312 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 2244312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578640).

2244312 is an abundant number, since it is smaller than the sum of its proper divisors (4912968).

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

2244312 is a wasteful number, since it uses less digits than its factorization.

2244312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 146 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2244312 is about 1498.1028002110. The cubic root of 2244312 is about 130.9265559611.

Adding to 2244312 its reverse (2134422), we get a palindrome (4378734).

It can be divided in two parts, 2244 and 312, that added together give a triangular number (2556 = T71).

The spelling of 2244312 in words is "two million, two hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 61 63 72 73 84 122 126 146 168 183 219 244 252 292 366 427 438 488 504 511 549 584 657 732 854 876 1022 1098 1281 1314 1464 1533 1708 1752 2044 2196 2562 2628 3066 3416 3843 4088 4392 4453 4599 5124 5256 6132 7686 8906 9198 10248 12264 13359 15372 17812 18396 26718 30744 31171 35624 36792 40077 53436 62342 80154 93513 106872 124684 160308 187026 249368 280539 320616 374052 561078 748104 1122156 2244312