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20839225 = 52112832
BaseRepresentation
bin100111101111…
…1101100111001
31110012202001011
41033133230321
520313323400
62022353521
7342062521
oct117375471
943182034
1020839225
1110843900
126b8b8a1
134418404
142aa6681
151c698ba
hex13dfb39

20839225 has 27 divisors (see below), whose sum is σ = 28749679. Its totient is φ = 14973200.

The previous prime is 20839201. The next prime is 20839243. The reversal of 20839225 is 52293802.

The square root of 20839225 is 4565.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7502121 + 13337104 = 2739^2 + 3652^2 .

It is not a de Polignac number, because 20839225 - 27 = 20839097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 251034 + ... + 251116.

Almost surely, 220839225 is an apocalyptic number.

20839225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20839225 is the 4565-th square number.

20839225 is the 2283-rd centered octagonal number.

It is an amenable number.

20839225 is a deficient number, since it is larger than the sum of its proper divisors (7910454).

20839225 is an equidigital number, since it uses as much as digits as its factorization.

20839225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 20839225 is about 275.1865401027.

The spelling of 20839225 in words is "twenty million, eight hundred thirty-nine thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 83 121 275 415 605 913 2075 3025 4565 6889 10043 22825 34445 50215 75779 172225 251075 378895 833569 1894475 4167845 20839225