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20903229 = 32292832
BaseRepresentation
bin100111110111…
…1010100111101
31110022222211200
41033233110331
520322400404
62024010113
7342450234
oct117572475
943288750
1020903229
11108879a6
127000939
13443b599
142ac1b1b
151c7d839
hex13ef53d

20903229 has 18 divisors (see below), whose sum is σ = 31345470. Its totient is φ = 13407408.

The previous prime is 20903227. The next prime is 20903273. The reversal of 20903229 is 92230902.

It can be written as a sum of positive squares in only one way, i.e., 18020025 + 2883204 = 4245^2 + 1698^2 .

It is not a de Polignac number, because 20903229 - 21 = 20903227 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20903227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73722 + ... + 74004.

It is an arithmetic number, because the mean of its divisors is an integer number (1741415).

Almost surely, 220903229 is an apocalyptic number.

20903229 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

20903229 is a deficient number, since it is larger than the sum of its proper divisors (10442241).

20903229 is an equidigital number, since it uses as much as digits as its factorization.

20903229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 20903229 is about 4572.0049212572. The cubic root of 20903229 is about 275.4679811230.

The spelling of 20903229 in words is "twenty million, nine hundred three thousand, two hundred twenty-nine".

Divisors: 1 3 9 29 87 261 283 849 2547 8207 24621 73863 80089 240267 720801 2322581 6967743 20903229