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21312216 = 23322959173
BaseRepresentation
bin101000101001…
…1001011011000
31111002202212100
41101103023120
520423442331
62040443400
7346102512
oct121231330
944082770
1021312216
1111037202
127179560
1345527a3
142b8abb2
151d0eae6
hex14532d8

21312216 has 96 divisors (see below), whose sum is σ = 61074000. Its totient is φ = 6703872.

The previous prime is 21312173. The next prime is 21312223. The reversal of 21312216 is 61221312.

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

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

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, 123106 + ... + 123278.

Almost surely, 221312216 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 21312216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30537000).

21312216 is an abundant number, since it is smaller than the sum of its proper divisors (39761784).

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

21312216 is a wasteful number, since it uses less digits than its factorization.

21312216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 266 counting only the distinct ones).

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

The square root of 21312216 is about 4616.5155691279. The cubic root of 21312216 is about 277.2529673963.

Adding to 21312216 its reverse (61221312), we get a palindrome (82533528).

It can be divided in two parts, 21312 and 216, that added together give a triangular number (21528 = T207).

The spelling of 21312216 in words is "twenty-one million, three hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 59 72 87 116 118 173 174 177 232 236 261 346 348 354 472 519 522 531 692 696 708 1038 1044 1062 1384 1416 1557 1711 2076 2088 2124 3114 3422 4152 4248 5017 5133 6228 6844 10034 10207 10266 12456 13688 15051 15399 20068 20414 20532 30102 30621 30798 40136 40828 41064 45153 60204 61242 61596 81656 90306 91863 120408 122484 123192 180612 183726 244968 296003 361224 367452 592006 734904 888009 1184012 1776018 2368024 2664027 3552036 5328054 7104072 10656108 21312216