Search a number
-
+
2236928 = 2917257
BaseRepresentation
bin1000100010001000000000
311012122111012
420202020000
51033040203
6115540052
725004441
oct10421000
94178435
102236928
111298701
128ba628
13604235
144232c8
152e2bd8
hex222200

2236928 has 40 divisors (see below), whose sum is σ = 4750812. Its totient is φ = 1048576.

The previous prime is 2236921. The next prime is 2236943. The reversal of 2236928 is 8296322.

It can be written as a sum of positive squares in 2 ways, for example, as 1763584 + 473344 = 1328^2 + 688^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 22 + 218 + 35 + 68 + 9 + 218 + 85 .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2236894 and 2236903.

It is not an unprimeable number, because it can be changed into a prime (2236921) by changing a digit.

In principle, a polygon with 2236928 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8576 + ... + 8832.

22236928 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 2236928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375406).

2236928 is an abundant number, since it is smaller than the sum of its proper divisors (2513884).

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

2236928 is an equidigital number, since it uses as much as digits as its factorization.

2236928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 2236928 is about 1495.6363194306. The cubic root of 2236928 is about 130.7828112593.

The spelling of 2236928 in words is "two million, two hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 257 272 512 514 544 1028 1088 2056 2176 4112 4352 4369 8224 8704 8738 16448 17476 32896 34952 65792 69904 131584 139808 279616 559232 1118464 2236928