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226563516 = 223261103171
BaseRepresentation
bin11011000000100…
…01010110111100
3120210022121201100
431200101112330
5431000013031
634252013100
75420521014
oct1540212674
9523277640
10226563516
11106986583
1263a61190
1337c2806a
1422138c44
1514d54de6
hexd8115bc

226563516 has 36 divisors (see below), whose sum is σ = 582096424. Its totient is φ = 74282400.

The previous prime is 226563511. The next prime is 226563527. The reversal of 226563516 is 615365622.

It is a happy number.

226563516 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 635 + 16 = 666.

226563516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226563511) 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 11 ways as a sum of consecutive naturals, for example, 49390 + ... + 53781.

Almost surely, 2226563516 is an apocalyptic number.

It is an amenable number.

226563516 is an abundant number, since it is smaller than the sum of its proper divisors (355532908).

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

226563516 is a wasteful number, since it uses less digits than its factorization.

226563516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103242 (or 103237 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 226563516 is about 15052.0269731355. The cubic root of 226563516 is about 609.6257814029.

The spelling of 226563516 in words is "two hundred twenty-six million, five hundred sixty-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 103171 206342 309513 412684 619026 928539 1238052 1857078 3714156 6293431 12586862 18880293 25173724 37760586 56640879 75521172 113281758 226563516