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2236896 = 2534863
BaseRepresentation
bin1000100010000111100000
311012122110000
420202013200
51033040041
6115540000
725004364
oct10420740
94178400
102236896
111298682
128ba600
1360420c
144232a4
152e2bb6
hex2221e0

2236896 has 60 divisors (see below), whose sum is σ = 6586272. Its totient is φ = 744768.

The previous prime is 2236879. The next prime is 2236901. The reversal of 2236896 is 6986322.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 27 + 219 + 34 + 6 + 85 + 9 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 2236896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2161 + ... + 3023.

22236896 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 2236896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293136).

2236896 is an abundant number, since it is smaller than the sum of its proper divisors (4349376).

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

2236896 is an equidigital number, since it uses as much as digits as its factorization.

2236896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 868 counting only the distinct ones).

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

The square root of 2236896 is about 1495.6256216046. The cubic root of 2236896 is about 130.7821876258.

The spelling of 2236896 in words is "two million, two hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 863 864 1296 1726 2589 2592 3452 5178 6904 7767 10356 13808 15534 20712 23301 27616 31068 41424 46602 62136 69903 82848 93204 124272 139806 186408 248544 279612 372816 559224 745632 1118448 2236896