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226125164268 = 223311231864427
BaseRepresentation
bin1101001010011000011…
…1000010111011101100
3210121200001101112112000
43102212013002323230
512201101020224033
6251514103012300
722223410116453
oct3224607027354
9717601345460
10226125164268
118799883a853
12379a8a3a090
13184289a7263
14ad31a77b9a
155d36ceda13
hex34a61c2eec

226125164268 has 48 divisors (see below), whose sum is σ = 586772780160. Its totient is φ = 75307894992.

The previous prime is 226125164203. The next prime is 226125164329. The reversal of 226125164268 is 862461521622.

226125164268 is a `hidden beast` number, since 2 + 2 + 612 + 5 + 1 + 6 + 4 + 26 + 8 = 666.

226125164268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261251642682 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810930 + ... + 1053497.

It is an arithmetic number, because the mean of its divisors is an integer number (12224432920).

Almost surely, 2226125164268 is an apocalyptic number.

It is an amenable number.

226125164268 is an abundant number, since it is smaller than the sum of its proper divisors (360647615892).

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

226125164268 is a wasteful number, since it uses less digits than its factorization.

226125164268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865563 (or 1865555 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 226125164268 in words is "two hundred twenty-six billion, one hundred twenty-five million, one hundred sixty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1123 2246 3369 4492 6738 10107 13476 20214 30321 40428 60642 121284 1864427 3728854 5593281 7457708 11186562 16779843 22373124 33559686 50339529 67119372 100679058 201358116 2093751521 4187503042 6281254563 8375006084 12562509126 18843763689 25125018252 37687527378 56531291067 75375054756 113062582134 226125164268