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221980001 is a prime number
BaseRepresentation
bin11010011101100…
…10010101100001
3120110200202022112
431032302111201
5423311330001
634005445105
75333541005
oct1516622541
9513622275
10221980001
11104335951
1262410795
1336cb1a19
14216a4705
151474bcbb
hexd3b2561

221980001 has 2 divisors, whose sum is σ = 221980002. Its totient is φ = 221980000.

The previous prime is 221979977. The next prime is 221980043. The reversal of 221980001 is 100089122.

221980001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137358400 + 84621601 = 11720^2 + 9199^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221980001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (221982001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110990000 + 110990001.

It is an arithmetic number, because the mean of its divisors is an integer number (110990001).

Almost surely, 2221980001 is an apocalyptic number.

It is an amenable number.

221980001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221980001 is an equidigital number, since it uses as much as digits as its factorization.

221980001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 221980001 is about 14898.9932881386. The cubic root of 221980001 is about 605.4867116841.

The spelling of 221980001 in words is "two hundred twenty-one million, nine hundred eighty thousand, one".