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220726016 = 287373329
BaseRepresentation
bin11010010100000…
…00001100000000
3120101100001011122
431022000030000
5423001213031
633522531412
75320066040
oct1512001400
9511301148
10220726016
111036597a5
1261b06b68
1336963014
1421459720
15145a047b
hexd280300

220726016 has 72 divisors (see below), whose sum is σ = 517295520. Its totient is φ = 92012544.

The previous prime is 220726003. The next prime is 220726019. The reversal of 220726016 is 610627022.

It is not an unprimeable number, because it can be changed into a prime (220726019) by changing a digit.

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, 64640 + ... + 67968.

It is an arithmetic number, because the mean of its divisors is an integer number (7184660).

Almost surely, 2220726016 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 220726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258647760).

220726016 is an abundant number, since it is smaller than the sum of its proper divisors (296569504).

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

220726016 is an equidigital number, since it uses as much as digits as its factorization.

220726016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 220726016 is about 14856.8508103164. The cubic root of 220726016 is about 604.3444083455.

The spelling of 220726016 in words is "two hundred twenty million, seven hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 518 592 896 1036 1184 1792 2072 2368 3329 4144 4736 6658 8288 9472 13316 16576 23303 26632 33152 46606 53264 66304 93212 106528 123173 186424 213056 246346 372848 426112 492692 745696 852224 862211 985384 1491392 1724422 1970768 2982784 3448844 3941536 5965568 6897688 7883072 13795376 15766144 27590752 31532288 55181504 110363008 220726016