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226656016 = 2419239241
BaseRepresentation
bin11011000001001…
…11111100010000
3120210111022121021
431200213330100
5431010443031
634254005224
75421354466
oct1540477420
9523438537
10226656016
11106a3a024
1263aa6814
1337c5b1b2
1422160836
1514d72511
hexd827f10

226656016 has 30 divisors (see below), whose sum is σ = 463487262. Its totient is φ = 107360640.

The previous prime is 226656013. The next prime is 226656047. The reversal of 226656016 is 610656622.

It can be written as a sum of positive squares in only one way, i.e., 168896016 + 57760000 = 12996^2 + 7600^2 .

It is not an unprimeable number, because it can be changed into a prime (226656013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13845 + ... + 25396.

Almost surely, 2226656016 is an apocalyptic number.

It is an amenable number.

226656016 is an abundant number, since it is smaller than the sum of its proper divisors (236831246).

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

226656016 is a wasteful number, since it uses less digits than its factorization.

226656016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39287 (or 39262 counting only the distinct ones).

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

The square root of 226656016 is about 15055.0993354411. The cubic root of 226656016 is about 609.7087349064.

The spelling of 226656016 in words is "two hundred twenty-six million, six hundred fifty-six thousand, sixteen".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 39241 78482 156964 313928 627856 745579 1491158 2982316 5964632 11929264 14166001 28332002 56664004 113328008 226656016