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2248686 = 2321141277
BaseRepresentation
bin1000100100111111101110
311020020121200
420210333232
51033424221
6120110330
725053636
oct10447756
94206550
102248686
1112a6520
129053a6
136096ab
144276c6
152e6426
hex224fee

2248686 has 48 divisors (see below), whose sum is σ = 5464368. Its totient is φ = 662400.

The previous prime is 2248681. The next prime is 2248691. The reversal of 2248686 is 6868422.

It is an interprime number because it is at equal distance from previous prime (2248681) and next prime (2248691).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2248686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7980 + ... + 8256.

It is an arithmetic number, because the mean of its divisors is an integer number (113841).

22248686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732184).

2248686 is an abundant number, since it is smaller than the sum of its proper divisors (3215682).

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

2248686 is a wasteful number, since it uses less digits than its factorization.

2248686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 334 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2248686 is about 1499.5619360333. The cubic root of 2248686 is about 131.0115561936.

The spelling of 2248686 in words is "two million, two hundred forty-eight thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 277 369 451 554 738 831 902 1353 1662 2493 2706 3047 4059 4986 6094 8118 9141 11357 18282 22714 27423 34071 54846 68142 102213 124927 204426 249854 374781 749562 1124343 2248686