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226386048 = 273784221
BaseRepresentation
bin11010111111001…
…10000010000000
3120202222121021110
431133212002000
5430423323143
634244123320
75416151430
oct1537460200
9522877243
10226386048
11106875209
1263996540
1337b95355
14220d02c0
1514d1c533
hexd7e6080

226386048 has 64 divisors (see below), whose sum is σ = 687251520. Its totient is φ = 64680960.

The previous prime is 226386031. The next prime is 226386049. The reversal of 226386048 is 840683622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 226385997 and 226386015.

It is not an unprimeable number, because it can be changed into a prime (226386049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39423 + ... + 44798.

It is an arithmetic number, because the mean of its divisors is an integer number (10738305).

Almost surely, 2226386048 is an apocalyptic number.

226386048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

226386048 is an abundant number, since it is smaller than the sum of its proper divisors (460865472).

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

226386048 is an equidigital number, since it uses as much as digits as its factorization.

226386048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84245 (or 84233 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 226386048 is about 15046.1306653904. The cubic root of 226386048 is about 609.4665658171.

The spelling of 226386048 in words is "two hundred twenty-six million, three hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 84221 168442 252663 336884 505326 589547 673768 1010652 1179094 1347536 1768641 2021304 2358188 2695072 3537282 4042608 4716376 5390144 7074564 8085216 9432752 10780288 14149128 16170432 18865504 28298256 32340864 37731008 56596512 75462016 113193024 226386048