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2243072 = 2913337
BaseRepresentation
bin1000100011101000000000
311012221220202
420203220000
51033234242
6120024332
725031366
oct10435000
94187822
102243072
1112a2287
129020a8
13606c80
14425636
152e4932
hex223a00

2243072 has 40 divisors (see below), whose sum is σ = 4840836. Its totient is φ = 1032192.

The previous prime is 2243057. The next prime is 2243077. The reversal of 2243072 is 2703422.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2027776 + 215296 = 1424^2 + 464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243077) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6488 + ... + 6824.

22243072 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 2243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420418).

2243072 is an abundant number, since it is smaller than the sum of its proper divisors (2597764).

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

2243072 is an equidigital number, since it uses as much as digits as its factorization.

2243072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 2243072 is about 1497.6888862511. The cubic root of 2243072 is about 130.9024388689.

Adding to 2243072 its reverse (2703422), we get a palindrome (4946494).

The spelling of 2243072 in words is "two million, two hundred forty-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 337 416 512 674 832 1348 1664 2696 3328 4381 5392 6656 8762 10784 17524 21568 35048 43136 70096 86272 140192 172544 280384 560768 1121536 2243072