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2268396 = 22321337131
BaseRepresentation
bin1000101001110011101100
311021020122200
420221303230
51040042041
6120341500
725165254
oct10516354
94236580
102268396
11130a309
12914890
13615660
14430964
152ec1b6
hex229cec

2268396 has 72 divisors (see below), whose sum is σ = 6390384. Its totient is φ = 673920.

The previous prime is 2268389. The next prime is 2268397. The reversal of 2268396 is 6938622.

2268396 is a `hidden beast` number, since 2 + 268 + 396 = 666.

2268396 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 (36).

It is a d-powerful number, because it can be written as 25 + 217 + 67 + 83 + 311 + 92 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 2268396.

It is not an unprimeable number, because it can be changed into a prime (2268397) 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 23 ways as a sum of consecutive naturals, for example, 17251 + ... + 17381.

22268396 is an apocalyptic number.

2268396 is a gapful number since it is divisible by the number (26) 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 2268396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195192).

2268396 is an abundant number, since it is smaller than the sum of its proper divisors (4121988).

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

2268396 is a wasteful number, since it uses less digits than its factorization.

2268396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2268396 is about 1506.1195171699. The cubic root of 2268396 is about 131.3932205311.

The spelling of 2268396 in words is "two million, two hundred sixty-eight thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 131 148 156 222 234 262 333 393 444 468 481 524 666 786 962 1179 1332 1443 1572 1703 1924 2358 2886 3406 4329 4716 4847 5109 5772 6812 8658 9694 10218 14541 15327 17316 19388 20436 29082 30654 43623 58164 61308 63011 87246 126022 174492 189033 252044 378066 567099 756132 1134198 2268396