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2286438 = 237311101
BaseRepresentation
bin1000101110001101100110
311022011101220
420232031212
51041131223
6121001210
725302000
oct10561546
94264356
102286438
111321920
12923206
1362092b
14437370
153026e3
hex22e366

2286438 has 64 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 588000.

The previous prime is 2286437. The next prime is 2286443. The reversal of 2286438 is 8346822.

2286438 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 (33).

It is a junction number, because it is equal to n+sod(n) for n = 2286399 and 2286408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2286437) 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 31 ways as a sum of consecutive naturals, for example, 22588 + ... + 22688.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

22286438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2286438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

2286438 is an abundant number, since it is smaller than the sum of its proper divisors (3588762).

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

2286438 is a wasteful number, since it uses less digits than its factorization.

2286438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2286438 is about 1512.0972190967. The cubic root of 2286438 is about 131.7406523955.

It can be divided in two parts, 228 and 6438, that added together give a palindrome (6666).

The spelling of 2286438 in words is "two million, two hundred eighty-six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 101 147 154 202 231 294 303 343 462 539 606 686 707 1029 1078 1111 1414 1617 2058 2121 2222 3234 3333 3773 4242 4949 6666 7546 7777 9898 11319 14847 15554 22638 23331 29694 34643 46662 54439 69286 103929 108878 163317 207858 326634 381073 762146 1143219 2286438