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21285225 = 32521319383
BaseRepresentation
bin101000100110…
…0100101101001
31111001101211200
41101030211221
520422111400
62040114413
7345631023
oct121144551
944041750
1021285225
11110189a5
127165a09
134543410
142b81013
151d06b00
hex144c969

21285225 has 72 divisors (see below), whose sum is σ = 43330560. Its totient is φ = 9901440.

The previous prime is 21285223. The next prime is 21285233. The reversal of 21285225 is 52258212.

It is not a de Polignac number, because 21285225 - 21 = 21285223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21285223) 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 71 ways as a sum of consecutive naturals, for example, 55384 + ... + 55766.

Almost surely, 221285225 is an apocalyptic number.

21285225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21285225 is an abundant number, since it is smaller than the sum of its proper divisors (22045335).

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

21285225 is a wasteful number, since it uses less digits than its factorization.

21285225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 423 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 21285225 is about 4613.5913343078. The cubic root of 21285225 is about 277.1358749867.

The spelling of 21285225 in words is "twenty-one million, two hundred eighty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 19 25 39 45 57 65 75 95 117 171 195 225 247 285 325 383 475 585 741 855 975 1149 1235 1425 1915 2223 2925 3447 3705 4275 4979 5745 6175 7277 9575 11115 14937 17235 18525 21831 24895 28725 36385 44811 55575 65493 74685 86175 94601 109155 124475 181925 224055 283803 327465 373425 473005 545775 851409 1120275 1419015 1637325 2365025 4257045 7095075 21285225