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226306256 = 241129101439
BaseRepresentation
bin11010111110100…
…10100011010000
3120202211112211012
431133102203100
5430413300011
634242310052
75415400001
oct1537224320
9522745735
10226306256
11106820270
1263958328
1337b67c37
14220ad1a8
1514d03a8b
hexd7d28d0

226306256 has 80 divisors (see below), whose sum is σ = 500860800. Its totient is φ = 98112000.

The previous prime is 226306243. The next prime is 226306259. The reversal of 226306256 is 652603622.

226306256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226306259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515285 + ... + 515723.

It is an arithmetic number, because the mean of its divisors is an integer number (6260760).

Almost surely, 2226306256 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 226306256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250430400).

226306256 is an abundant number, since it is smaller than the sum of its proper divisors (274554544).

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

226306256 is a wasteful number, since it uses less digits than its factorization.

226306256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 226306256 is about 15043.4788529781. The cubic root of 226306256 is about 609.3949532314.

Adding to 226306256 its reverse (652603622), we get a palindrome (878909878).

The spelling of 226306256 in words is "two hundred twenty-six million, three hundred six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 101 116 176 202 232 319 404 439 464 638 808 878 1111 1276 1616 1756 2222 2552 2929 3512 4444 4829 5104 5858 7024 8888 9658 11716 12731 17776 19316 23432 25462 32219 38632 44339 46864 50924 64438 77264 88678 101848 128876 140041 177356 203696 257752 280082 354712 487729 515504 560164 709424 975458 1120328 1285831 1950916 2240656 2571662 3901832 5143324 7803664 10286648 14144141 20573296 28288282 56576564 113153128 226306256