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226565320 = 23555710169
BaseRepresentation
bin11011000000100…
…01110011001000
3120210022201012011
431200101303020
5431000042240
634252025304
75420526202
oct1540216310
9523281164
10226565320
11106987973
1263a62234
1337c28b27
1422139772
1514d556ea
hexd811cc8

226565320 has 32 divisors (see below), whose sum is σ = 510737400. Its totient is φ = 90454528.

The previous prime is 226565309. The next prime is 226565327. The reversal of 226565320 is 23565622.

226565320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 185014404 + 41550916 = 13602^2 + 6446^2 .

It is not an unprimeable number, because it can be changed into a prime (226565327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17196 + ... + 27364.

Almost surely, 2226565320 is an apocalyptic number.

226565320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226565320 is an abundant number, since it is smaller than the sum of its proper divisors (284172080).

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

226565320 is a wasteful number, since it uses less digits than its factorization.

226565320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10737 (or 10733 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 226565320 is about 15052.0868985002. The cubic root of 226565320 is about 609.6273994362.

The spelling of 226565320 in words is "two hundred twenty-six million, five hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 557 1114 2228 2785 4456 5570 10169 11140 20338 22280 40676 50845 81352 101690 203380 406760 5664133 11328266 22656532 28320665 45313064 56641330 113282660 226565320