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2236728 = 2331367107
BaseRepresentation
bin1000100010000100111000
311012122012210
420202010320
51033033403
6115535120
725004034
oct10420470
94178183
102236728
11129853a
128ba4a0
13604110
144231c4
152e2b03
hex222138

2236728 has 64 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 671616.

The previous prime is 2236711. The next prime is 2236733. The reversal of 2236728 is 8276322.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 213 + 217 + 34 + 63 + 7 + 221 + 8 .

Its product of digits (8064) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2236695 and 2236704.

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 15 ways as a sum of consecutive naturals, for example, 20851 + ... + 20957.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

22236728 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 2236728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2236728 is an abundant number, since it is smaller than the sum of its proper divisors (3932232).

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

2236728 is a wasteful number, since it uses less digits than its factorization.

2236728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2236728 is about 1495.5694567622. The cubic root of 2236728 is about 130.7789134521.

The spelling of 2236728 in words is "two million, two hundred thirty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 107 134 156 201 214 268 312 321 402 428 536 642 804 856 871 1284 1391 1608 1742 2568 2613 2782 3484 4173 5226 5564 6968 7169 8346 10452 11128 14338 16692 20904 21507 28676 33384 43014 57352 86028 93197 172056 186394 279591 372788 559182 745576 1118364 2236728