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85472226 = 23371747283
BaseRepresentation
bin1010001100000…
…11001111100010
312221211102212000
411012003033202
5133340102401
612251544430
72055334110
oct506031742
9187742760
1085472226
1144279604
122475b116
13149280a8
14b4ccab0
157785186
hex51833e2

85472226 has 128 divisors (see below), whose sum is σ = 235560960. Its totient is φ = 22415616.

The previous prime is 85472201. The next prime is 85472227. The reversal of 85472226 is 62227458.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85472227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301881 + ... + 302163.

It is an arithmetic number, because the mean of its divisors is an integer number (1840320).

Almost surely, 285472226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85472226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117780480).

85472226 is an abundant number, since it is smaller than the sum of its proper divisors (150088734).

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

85472226 is a wasteful number, since it uses less digits than its factorization.

85472226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 85472226 is about 9245.1190365511. The cubic root of 85472226 is about 440.4956982302.

The spelling of 85472226 in words is "eighty-five million, four hundred seventy-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 47 51 54 63 94 102 119 126 141 153 189 238 282 283 306 329 357 378 423 459 566 658 714 799 846 849 918 987 1071 1269 1598 1698 1974 1981 2142 2397 2538 2547 2961 3213 3962 4794 4811 5094 5593 5922 5943 6426 7191 7641 8883 9622 11186 11886 13301 14382 14433 15282 16779 17766 17829 21573 26602 28866 33558 33677 35658 39903 43146 43299 50337 53487 67354 79806 86598 93107 100674 101031 106974 119709 129897 151011 186214 202062 226117 239418 259794 279321 302022 303093 359127 452234 558642 606186 678351 718254 837963 909279 1356702 1582819 1675926 1818558 2035053 2513889 3165638 4070106 4748457 5027778 6105159 9496914 12210318 14245371 28490742 42736113 85472226