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21816216 = 2334131257
BaseRepresentation
bin101001100111…
…0001110011000
31112001101020000
41103032032120
521041104331
62055333000
7353302062
oct123161630
945041200
1021816216
1111350934
127381160
13469b006
142c7c732
151dae0e6
hex14ce398

21816216 has 80 divisors (see below), whose sum is σ = 61811640. Its totient is φ = 7188480.

The previous prime is 21816209. The next prime is 21816217. The reversal of 21816216 is 61261812.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21816216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21816217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 84760 + ... + 85016.

Almost surely, 221816216 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 21816216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30905820).

21816216 is an abundant number, since it is smaller than the sum of its proper divisors (39995424).

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

21816216 is a wasteful number, since it uses less digits than its factorization.

21816216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 393 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 21816216 is about 4670.7832319644. The cubic root of 21816216 is about 279.4214926453.

The spelling of 21816216 in words is "twenty-one million, eight hundred sixteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 131 162 216 257 262 324 393 514 524 648 771 786 1028 1048 1179 1542 1572 2056 2313 2358 3084 3144 3537 4626 4716 6168 6939 7074 9252 9432 10611 13878 14148 18504 20817 21222 27756 28296 33667 41634 42444 55512 67334 83268 84888 101001 134668 166536 202002 269336 303003 404004 606006 808008 909009 1212012 1818018 2424024 2727027 3636036 5454054 7272072 10908108 21816216