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220420125 = 3253195929
BaseRepresentation
bin11010010001101…
…01100000011101
3120100202111120100
431020311200131
5422411421000
633512211313
75314353162
oct1510654035
9510674510
10220420125
1110346a9a2
1261999b39
1336886a13
14213ba069
151453ea00
hexd23581d

220420125 has 24 divisors (see below), whose sum is σ = 397346040. Its totient is φ = 117556800.

The previous prime is 220420111. The next prime is 220420129. The reversal of 220420125 is 521024022.

220420125 is a `hidden beast` number, since 220 + 420 + 1 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27154521 + 193265604 = 5211^2 + 13902^2 .

It is not a de Polignac number, because 220420125 - 26 = 220420061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220420098 and 220420107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220420129) 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 23 ways as a sum of consecutive naturals, for example, 96840 + ... + 99089.

It is an arithmetic number, because the mean of its divisors is an integer number (16556085).

Almost surely, 2220420125 is an apocalyptic number.

220420125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

220420125 is a deficient number, since it is larger than the sum of its proper divisors (176925915).

220420125 is a wasteful number, since it uses less digits than its factorization.

220420125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195950 (or 195937 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 220420125 is about 14846.5526301563. The cubic root of 220420125 is about 604.0651043443.

Adding to 220420125 its reverse (521024022), we get a palindrome (741444147).

The spelling of 220420125 in words is "two hundred twenty million, four hundred twenty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 195929 587787 979645 1763361 2938935 4898225 8816805 14694675 24491125 44084025 73473375 220420125