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2286396 = 2232743211
BaseRepresentation
bin1000101110001100111100
311022011100100
420232030330
51041131041
6121001100
725301610
oct10561474
94264310
102286396
111321892
12923190
136208c8
14437340
153026b6
hex22e33c

2286396 has 72 divisors (see below), whose sum is σ = 6790784. Its totient is φ = 635040.

The previous prime is 2286379. The next prime is 2286437. The reversal of 2286396 is 6936822.

2286396 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 220 + 220 + 84 + 63 + 311 + 9 + 65 .

It is a self number, because there is not a number n which added to its sum of digits gives 2286396.

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, 10731 + ... + 10941.

22286396 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 2286396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395392).

2286396 is an abundant number, since it is smaller than the sum of its proper divisors (4504388).

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

2286396 is a wasteful number, since it uses less digits than its factorization.

2286396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 266 counting only the distinct ones).

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

The square root of 2286396 is about 1512.0833310370. The cubic root of 2286396 is about 131.7398457345.

The spelling of 2286396 in words is "two million, two hundred eighty-six thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 211 252 258 301 387 422 516 602 633 774 844 903 1204 1266 1477 1548 1806 1899 2532 2709 2954 3612 3798 4431 5418 5908 7596 8862 9073 10836 13293 17724 18146 26586 27219 36292 53172 54438 63511 81657 108876 127022 163314 190533 254044 326628 381066 571599 762132 1143198 2286396