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220741625 = 5313135841
BaseRepresentation
bin11010010100000…
…11111111111001
3120101100211120202
431022003333321
5423002213000
633523131545
75320162406
oct1512037771
9511324522
10220741625
1110366a4a5
1261b13bb5
133696a160
14214612ad
15145a4dd5
hexd283ff9

220741625 has 16 divisors (see below), whose sum is σ = 296678928. Its totient is φ = 163008000.

The previous prime is 220741613. The next prime is 220741643. The reversal of 220741625 is 526147022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 75394489 + 145347136 = 8683^2 + 12056^2 .

It is not a de Polignac number, because 220741625 - 28 = 220741369 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 66296 + ... + 69545.

It is an arithmetic number, because the mean of its divisors is an integer number (18542433).

Almost surely, 2220741625 is an apocalyptic number.

220741625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

220741625 is a deficient number, since it is larger than the sum of its proper divisors (75937303).

220741625 is a wasteful number, since it uses less digits than its factorization.

220741625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135869 (or 135859 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 220741625 is about 14857.3761142404. The cubic root of 220741625 is about 604.3586537430.

Adding to 220741625 its reverse (526147022), we get a palindrome (746888647).

The spelling of 220741625 in words is "two hundred twenty million, seven hundred forty-one thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 325 1625 135841 679205 1765933 3396025 8829665 16980125 44148325 220741625