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22680216 = 23331341197
BaseRepresentation
bin101011010000…
…1001010011000
31120200021102000
41112201022120
521301231331
62130041000
7363531036
oct126411230
946607360
1022680216
1111890a89
127719160
134911360
143025556
151ed00e6
hex15a1298

22680216 has 128 divisors (see below), whose sum is σ = 69854400. Its totient is φ = 6773760.

The previous prime is 22680211. The next prime is 22680241. The reversal of 22680216 is 61208622.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 22680216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22680211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115030 + ... + 115226.

Almost surely, 222680216 is an apocalyptic number.

22680216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22680216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34927200).

22680216 is an abundant number, since it is smaller than the sum of its proper divisors (47174184).

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

22680216 is a wasteful number, since it uses less digits than its factorization.

22680216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22680216 is about 4762.3750377306. The cubic root of 22680216 is about 283.0625374245.

Adding to 22680216 its reverse (61208622), we get a palindrome (83888838).

The spelling of 22680216 in words is "twenty-two million, six hundred eighty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 41 52 54 72 78 82 104 108 117 123 156 164 197 216 234 246 312 328 351 369 394 468 492 533 591 702 738 788 936 984 1066 1107 1182 1404 1476 1576 1599 1773 2132 2214 2364 2561 2808 2952 3198 3546 4264 4428 4728 4797 5122 5319 6396 7092 7683 8077 8856 9594 10244 10638 12792 14184 14391 15366 16154 19188 20488 21276 23049 24231 28782 30732 32308 38376 42552 46098 48462 57564 61464 64616 69147 72693 92196 96924 105001 115128 138294 145386 184392 193848 210002 218079 276588 290772 315003 420004 436158 553176 581544 630006 840008 872316 945009 1260012 1744632 1890018 2520024 2835027 3780036 5670054 7560072 11340108 22680216