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28220016 = 24311192997
BaseRepresentation
bin110101110100…
…1101001110000
31222002201120210
41223221221300
524211020031
62444504120
7461603046
oct153515160
958081523
1028220016
1114a25130
12954b040
135b00a46
143a68396
152726746
hex1ae9a70

28220016 has 160 divisors (see below), whose sum is σ = 87494400. Its totient is φ = 7741440.

The previous prime is 28219999. The next prime is 28220021. The reversal of 28220016 is 61002282.

It is a junction number, because it is equal to n+sod(n) for n = 28219974 and 28220001.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 290880 + ... + 290976.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 228220016 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 28220016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43747200).

28220016 is an abundant number, since it is smaller than the sum of its proper divisors (59274384).

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

28220016 is a wasteful number, since it uses less digits than its factorization.

28220016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 28220016 is about 5312.2515000704. The cubic root of 28220016 is about 304.4521779618.

Adding to 28220016 its reverse (61002282), we get a palindrome (89222298).

The spelling of 28220016 in words is "twenty-eight million, two hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 29 33 38 44 48 57 58 66 76 87 88 97 114 116 132 152 174 176 194 209 228 232 264 291 304 319 348 388 418 456 464 528 551 582 627 638 696 776 836 912 957 1067 1102 1164 1254 1276 1392 1552 1653 1672 1843 1914 2134 2204 2328 2508 2552 2813 3201 3306 3344 3686 3828 4268 4408 4656 5016 5104 5529 5626 6061 6402 6612 7372 7656 8439 8536 8816 10032 11058 11252 12122 12804 13224 14744 15312 16878 17072 18183 20273 22116 22504 24244 25608 26448 29488 30943 33756 36366 40546 44232 45008 48488 51216 53447 60819 61886 67512 72732 81092 88464 92829 96976 106894 121638 123772 135024 145464 160341 162184 185658 213788 243276 247544 290928 320682 324368 371316 427576 486552 495088 587917 641364 742632 855152 973104 1175834 1282728 1485264 1763751 2351668 2565456 3527502 4703336 7055004 9406672 14110008 28220016