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226214054226 = 232192385933479
BaseRepresentation
bin1101001010101101101…
…0001000100101010010
3210121220020122121121200
43102223122020211102
512201241244213401
6251531000132030
722225536510036
oct3225332104522
9717806577550
10226214054226
1187a33a33126
1237a12767016
131844122ab74
14ad3d7b61c6
155d3ea0b686
hex34ab688952

226214054226 has 96 divisors (see below), whose sum is σ = 539001216000. Its totient is φ = 68248518624.

The previous prime is 226214054191. The next prime is 226214054243. The reversal of 226214054226 is 622450412622.

226214054226 is a `hidden beast` number, since 2 + 2 + 6 + 21 + 405 + 4 + 226 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6740155 + ... + 6773633.

It is an arithmetic number, because the mean of its divisors is an integer number (5614596000).

Almost surely, 2226214054226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226214054226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269500608000).

226214054226 is an abundant number, since it is smaller than the sum of its proper divisors (312787161774).

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

226214054226 is a wasteful number, since it uses less digits than its factorization.

226214054226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34388 (or 34385 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 226214054226 its reverse (622450412622), we get a palindrome (848664466848).

The spelling of 226214054226 in words is "two hundred twenty-six billion, two hundred fourteen million, fifty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 859 874 1311 1718 2577 2622 3933 5154 7731 7866 15462 16321 19757 32642 33479 39514 48963 59271 66958 97926 100437 118542 146889 177813 200874 293778 301311 355626 375383 602622 636101 750766 770017 1126149 1272202 1540034 1908303 2252298 2310051 3378447 3816606 4620102 5724909 6756894 6930153 11449818 13860306 14630323 28758461 29260646 43890969 57516922 86275383 87781938 131672907 172550766 258826149 263345814 517652298 546410759 661444603 1092821518 1322889206 1639232277 1984333809 3278464554 3968667618 4917696831 5953001427 9835393662 11906002854 12567447457 25134894914 37702342371 75404684742 113107027113 226214054226