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224426656 = 2517613673
BaseRepresentation
bin11010110000001…
…11101010100000
3120122022001111101
431120013222200
5424423123111
634134124144
75363411056
oct1530075240
9518261441
10224426656
11105757083
12631b0654
133765a54c
1421b401d6
1514a81bc1
hexd607aa0

224426656 has 48 divisors (see below), whose sum is σ = 469290024. Its totient is φ = 105283584.

The previous prime is 224426647. The next prime is 224426677. The reversal of 224426656 is 656624422.

It can be written as a sum of positive squares in 4 ways, for example, as 131882256 + 92544400 = 11484^2 + 9620^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333136 + ... + 333808.

Almost surely, 2224426656 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 224426656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234645012).

224426656 is an abundant number, since it is smaller than the sum of its proper divisors (244863368).

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

224426656 is a wasteful number, since it uses less digits than its factorization.

224426656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1305 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The square root of 224426656 is about 14980.8763428579. The cubic root of 224426656 is about 607.7031387812.

It can be divided in two parts, 2244 and 26656, that added together give a square (28900 = 1702).

The spelling of 224426656 in words is "two hundred twenty-four million, four hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 613 673 1226 1346 2452 2692 4904 5384 9808 10421 10768 11441 19616 20842 21536 22882 41684 45764 83368 91528 166736 183056 333472 366112 412549 825098 1650196 3300392 6600784 7013333 13201568 14026666 28053332 56106664 112213328 224426656