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21214305 = 345721069
BaseRepresentation
bin101000011101…
…1010001100001
31110220210120000
41100323101201
520412324210
62034410213
7345214200
oct120732141
943823500
1021214305
1110a7a692
127130969
13451a058
142b63237
151ce0ac0
hex143b461

21214305 has 60 divisors (see below), whose sum is σ = 44278740. Its totient is φ = 9688896.

The previous prime is 21214273. The next prime is 21214309. The reversal of 21214305 is 50341212.

It can be written as a sum of positive squares in 2 ways, for example, as 8767521 + 12446784 = 2961^2 + 3528^2 .

It is not a de Polignac number, because 21214305 - 25 = 21214273 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (21214309) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 19311 + ... + 20379.

It is an arithmetic number, because the mean of its divisors is an integer number (737979).

Almost surely, 221214305 is an apocalyptic number.

It is an amenable number.

21214305 is an abundant number, since it is smaller than the sum of its proper divisors (23064435).

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

21214305 is a wasteful number, since it uses less digits than its factorization.

21214305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 21214305 is about 4605.8989350614. The cubic root of 21214305 is about 276.8277372120.

Adding to 21214305 its reverse (50341212), we get a palindrome (71555517).

The spelling of 21214305 in words is "twenty-one million, two hundred fourteen thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 567 735 945 1069 1323 2205 2835 3207 3969 5345 6615 7483 9621 16035 19845 22449 28863 37415 48105 52381 67347 86589 112245 144315 157143 202041 261905 336735 432945 471429 606123 785715 1010205 1414287 2357145 3030615 4242861 7071435 21214305