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20313225 = 325290281
BaseRepresentation
bin100110101111…
…1010010001001
31102020000111200
41031133102021
520200010400
62003214413
7334442142
oct115372211
942200450
1020313225
1110514699
126977409
134292b7a
1429aaac9
151bb3b00
hex135f489

20313225 has 18 divisors (see below), whose sum is σ = 36383646. Its totient is φ = 10833600.

The previous prime is 20313203. The next prime is 20313229. The reversal of 20313225 is 52231302.

It can be written as a sum of positive squares in 3 ways, for example, as 1468944 + 18844281 = 1212^2 + 4341^2 .

It is not a de Polignac number, because 20313225 - 29 = 20312713 is a prime.

It is a super-3 number, since 3×203132253 (a number of 23 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20313198 and 20313207.

It is not an unprimeable number, because it can be changed into a prime (20313229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44916 + ... + 45365.

Almost surely, 220313225 is an apocalyptic number.

20313225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20313225 is a deficient number, since it is larger than the sum of its proper divisors (16070421).

20313225 is a wasteful number, since it uses less digits than its factorization.

20313225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90297 (or 90289 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20313225 is about 4507.0195251408. The cubic root of 20313225 is about 272.8514669209.

Adding to 20313225 its reverse (52231302), we get a palindrome (72544527).

The spelling of 20313225 in words is "twenty million, three hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 90281 270843 451405 812529 1354215 2257025 4062645 6771075 20313225