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220941 = 3372167
BaseRepresentation
bin110101111100001101
3102020002000
4311330031
524032231
64422513
71610100
oct657415
9366060
10220941
11140aa6
12a7a39
1379746
145a737
15456e6
hex35f0d

220941 has 24 divisors (see below), whose sum is σ = 383040. Its totient is φ = 125496.

The previous prime is 220939. The next prime is 220973. The reversal of 220941 is 149022.

It is not a de Polignac number, because 220941 - 21 = 220939 is a prime.

220941 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220941.

It is not an unprimeable number, because it can be changed into a prime (220901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1240 + ... + 1406.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2220941 is an apocalyptic number.

220941 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220941 is a deficient number, since it is larger than the sum of its proper divisors (162099).

220941 is a wasteful number, since it uses less digits than its factorization.

220941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 220941 is about 470.0436149976. The cubic root of 220941 is about 60.4540552298.

Adding to 220941 its reverse (149022), we get a palindrome (369963).

The spelling of 220941 in words is "two hundred twenty thousand, nine hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 147 167 189 441 501 1169 1323 1503 3507 4509 8183 10521 24549 31563 73647 220941