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21424221 = 32721337101
BaseRepresentation
bin101000110111…
…0100001011101
31111022110111200
41101232201131
520441033341
62043110113
7350050200
oct121564135
944273450
1021424221
1111103375
127212339
134591770
142bb9937
151d32db6
hex146e85d

21424221 has 72 divisors (see below), whose sum is σ = 40209624. Its totient is φ = 10886400.

The previous prime is 21424217. The next prime is 21424223. The reversal of 21424221 is 12242412.

21424221 is a `hidden beast` number, since 21 + 424 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9272025 + 12152196 = 3045^2 + 3486^2 .

It is not a de Polignac number, because 21424221 - 22 = 21424217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21424194 and 21424203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21424223) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 212071 + ... + 212171.

It is an arithmetic number, because the mean of its divisors is an integer number (558467).

Almost surely, 221424221 is an apocalyptic number.

21424221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21424221 is a deficient number, since it is larger than the sum of its proper divisors (18785403).

21424221 is a wasteful number, since it uses less digits than its factorization.

21424221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 21424221 is about 4628.6305750189. The cubic root of 21424221 is about 277.7378141559.

Adding to 21424221 its reverse (12242412), we get a palindrome (33666633).

The spelling of 21424221 in words is "twenty-one million, four hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 3 7 9 13 21 37 39 49 63 91 101 111 117 147 259 273 303 333 441 481 637 707 777 819 909 1313 1443 1813 1911 2121 2331 3367 3737 3939 4329 4949 5439 5733 6363 9191 10101 11211 11817 14847 16317 23569 26159 27573 30303 33633 44541 48581 64337 70707 78477 82719 145743 183113 193011 212121 235431 340067 437229 549339 579033 1020201 1648017 2380469 3060603 7141407 21424221