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2238046001 is a prime number
BaseRepresentation
bin1000010101100101…
…1101111100110001
312202222021111221122
42011121131330301
514040414433001
61010025032025
7106314035312
oct20531357461
95688244848
102238046001
11a493560a4
12525625615
13298892999
14173342609
15d1734b1b
hex8565df31

2238046001 has 2 divisors, whose sum is σ = 2238046002. Its totient is φ = 2238046000.

The previous prime is 2238045989. The next prime is 2238046003. The reversal of 2238046001 is 1006408322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1488107776 + 749938225 = 38576^2 + 27385^2 .

It is a cyclic number.

It is not a de Polignac number, because 2238046001 - 218 = 2237783857 is a prime.

Together with 2238046003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2238046003) by changing a digit.

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 as a sum of consecutive naturals, namely, 1119023000 + 1119023001.

It is an arithmetic number, because the mean of its divisors is an integer number (1119023001).

Almost surely, 22238046001 is an apocalyptic number.

It is an amenable number.

2238046001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2238046001 is an equidigital number, since it uses as much as digits as its factorization.

2238046001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2238046001 is about 47307.9908789202. The cubic root of 2238046001 is about 1308.0459574250.

The spelling of 2238046001 in words is "two billion, two hundred thirty-eight million, forty-six thousand, one".