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226656160 = 2551416601
BaseRepresentation
bin11011000001001…
…11111110100000
3120210111022210121
431200213332200
5431010444120
634254010024
75421355063
oct1540477640
9523438717
10226656160
11106a3a145
1263aa6914
1337c5b293
14221608da
1514d725aa
hexd827fa0

226656160 has 24 divisors (see below), whose sum is σ = 535475556. Its totient is φ = 90662400.

The previous prime is 226656119. The next prime is 226656163. The reversal of 226656160 is 61656622.

226656160 is digitally balanced in base 2, 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 2 ways, for example, as 193432464 + 33223696 = 13908^2 + 5764^2 .

It is a super-3 number, since 3×2266561603 (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (226656163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 708141 + ... + 708460.

Almost surely, 2226656160 is an apocalyptic number.

226656160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226656160 is an abundant number, since it is smaller than the sum of its proper divisors (308819396).

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

226656160 is a wasteful number, since it uses less digits than its factorization.

226656160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416616 (or 1416608 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 226656160 is about 15055.1041178731. The cubic root of 226656160 is about 609.7088640272.

The spelling of 226656160 in words is "two hundred twenty-six million, six hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1416601 2833202 5666404 7083005 11332808 14166010 22665616 28332020 45331232 56664040 113328080 226656160