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20825217 = 327615419
BaseRepresentation
bin100111101110…
…0010010000001
31110012000211100
41033130102001
520312401332
62022205013
7342003630
oct117342201
943160740
1020825217
1110834326
126b83769
134411c1a
142aa1517
151c6567c
hex13dc481

20825217 has 24 divisors (see below), whose sum is σ = 34948160. Its totient is φ = 11702880.

The previous prime is 20825209. The next prime is 20825227. The reversal of 20825217 is 71252802.

It is not a de Polignac number, because 20825217 - 23 = 20825209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20825227) 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 23 ways as a sum of consecutive naturals, for example, 1134 + ... + 6552.

Almost surely, 220825217 is an apocalyptic number.

It is an amenable number.

20825217 is a deficient number, since it is larger than the sum of its proper divisors (14122943).

20825217 is a wasteful number, since it uses less digits than its factorization.

20825217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 20825217 is about 4563.4654594946. The cubic root of 20825217 is about 275.1248667103.

It can be divided in two parts, 208 and 25217, that added together give a triangular number (25425 = T225).

The spelling of 20825217 in words is "twenty million, eight hundred twenty-five thousand, two hundred seventeen".

Divisors: 1 3 7 9 21 61 63 183 427 549 1281 3843 5419 16257 37933 48771 113799 330559 341397 991677 2313913 2975031 6941739 20825217