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2243328 = 28323127
BaseRepresentation
bin1000100011101100000000
311012222021020
420203230000
51033241303
6120025440
725032213
oct10435400
94188236
102243328
1112a249a
12902280
13607119
1442577a
152e4a53
hex223b00

2243328 has 72 divisors (see below), whose sum is σ = 6279168. Its totient is φ = 709632.

The previous prime is 2243317. The next prime is 2243333. The reversal of 2243328 is 8233422.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 26 + 216 + 4 + 310 + 313 + 219 + 82 .

It is a junction number, because it is equal to n+sod(n) for n = 2243298 and 2243307.

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 7 ways as a sum of consecutive naturals, for example, 17601 + ... + 17727.

22243328 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 2243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139584).

2243328 is an abundant number, since it is smaller than the sum of its proper divisors (4035840).

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

2243328 is a wasteful number, since it uses less digits than its factorization.

2243328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2243328 is about 1497.7743488256. The cubic root of 2243328 is about 130.9074186094.

The spelling of 2243328 in words is "two million, two hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 127 128 138 184 192 254 256 276 368 381 384 508 552 736 762 768 1016 1104 1472 1524 2032 2208 2921 2944 3048 4064 4416 5842 5888 6096 8128 8763 8832 11684 12192 16256 17526 17664 23368 24384 32512 35052 46736 48768 70104 93472 97536 140208 186944 280416 373888 560832 747776 1121664 2243328