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221000441 is a prime number
BaseRepresentation
bin11010010110000…
…11001011111001
3120101211222121112
431023003023321
5423034003231
633532450105
75322321104
oct1513031371
9511758545
10221000441
111038269a2
1262019935
1336a2abbc
14214cb73b
151460692b
hexd2c32f9

221000441 has 2 divisors, whose sum is σ = 221000442. Its totient is φ = 221000440.

The previous prime is 221000431. The next prime is 221000471. The reversal of 221000441 is 144000122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189640441 + 31360000 = 13771^2 + 5600^2 .

It is a cyclic number.

It is not a de Polignac number, because 221000441 - 210 = 220999417 is a prime.

It is not a weakly prime, because it can be changed into another prime (221000431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110500220 + 110500221.

It is an arithmetic number, because the mean of its divisors is an integer number (110500221).

Almost surely, 2221000441 is an apocalyptic number.

It is an amenable number.

221000441 is a deficient number, since it is larger than the sum of its proper divisors (1).

221000441 is an equidigital number, since it uses as much as digits as its factorization.

221000441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 221000441 is about 14866.0835797462. The cubic root of 221000441 is about 604.5947617520.

Adding to 221000441 its reverse (144000122), we get a palindrome (365000563).

The spelling of 221000441 in words is "two hundred twenty-one million, four hundred forty-one", and thus it is an aban number.