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82230428 = 227217232937
BaseRepresentation
bin1001110011010…
…11110010011100
312201201201221102
410321223302130
5132022333203
612054252232
72015642600
oct471536234
9181651842
1082230428
1142464a35
1223657078
1314061677
14acc7500
157344888
hex4e6bc9c

82230428 has 144 divisors (see below), whose sum is σ = 196499520. Its totient is φ = 29804544.

The previous prime is 82230427. The next prime is 82230431. The reversal of 82230428 is 82403228.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 82230428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82230427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2222426 + ... + 2222462.

It is an arithmetic number, because the mean of its divisors is an integer number (1364580).

Almost surely, 282230428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82230428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98249760).

82230428 is an abundant number, since it is smaller than the sum of its proper divisors (114269092).

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

82230428 is a wasteful number, since it uses less digits than its factorization.

82230428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 82230428 is about 9068.0994701205. The cubic root of 82230428 is about 434.8547152113.

The spelling of 82230428 in words is "eighty-two million, two hundred thirty thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 17 23 28 29 34 37 46 49 58 68 74 92 98 116 119 148 161 196 203 238 259 322 391 406 476 493 518 629 644 667 782 812 833 851 986 1036 1073 1127 1258 1334 1421 1564 1666 1702 1813 1972 2146 2254 2516 2668 2737 2842 3332 3404 3451 3626 4292 4403 4508 4669 5474 5684 5957 6902 7252 7511 8806 9338 10948 11339 11914 13804 14467 15022 17612 18241 18676 19159 22678 23828 24157 24679 28934 30044 30821 32683 36482 38318 41699 45356 48314 49358 52577 57868 61642 65366 72964 76636 79373 83398 96628 98716 101269 105154 123284 127687 130732 158746 166796 172753 202538 210308 255374 317492 345506 405076 419543 510748 555611 691012 708883 839086 893809 1111222 1209271 1417766 1678172 1787618 2222444 2418542 2835532 2936801 3575236 4837084 5873602 11747204 20557607 41115214 82230428