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20016216 = 233211127199
BaseRepresentation
bin100110001011…
…0110001011000
31101122221002100
41030112301120
520111004331
61553003400
7332064213
oct114266130
941587070
1020016216
1110331530
126853560
1341ba91c
14293077a
151b55ae6
hex1316c58

20016216 has 96 divisors (see below), whose sum is σ = 59904000. Its totient is φ = 5987520.

The previous prime is 20016193. The next prime is 20016221. The reversal of 20016216 is 61261002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100485 + ... + 100683.

It is an arithmetic number, because the mean of its divisors is an integer number (624000).

Almost surely, 220016216 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 20016216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29952000).

20016216 is an abundant number, since it is smaller than the sum of its proper divisors (39887784).

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

20016216 is a wasteful number, since it uses less digits than its factorization.

20016216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20016216 is about 4473.9485915687. The cubic root of 20016216 is about 271.5151035013.

Adding to 20016216 its reverse (61261002), we get a palindrome (81277218).

The spelling of 20016216 in words is "twenty million, sixteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 127 132 198 199 254 264 381 396 398 508 597 762 792 796 1016 1143 1194 1397 1524 1592 1791 2189 2286 2388 2794 3048 3582 4191 4378 4572 4776 5588 6567 7164 8382 8756 9144 11176 12573 13134 14328 16764 17512 19701 25146 25273 26268 33528 39402 50292 50546 52536 75819 78804 100584 101092 151638 157608 202184 227457 278003 303276 454914 556006 606552 834009 909828 1112012 1668018 1819656 2224024 2502027 3336036 5004054 6672072 10008108 20016216