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801221633 is a prime number
BaseRepresentation
bin101111110000011…
…010110000000001
32001211122021110022
4233300122300001
53120103043013
6211300543225
725566162062
oct5760326001
92054567408
10801221633
113812a5743
121a43b1b15
13c9cbcc54
14785a6569
154a519008
hex2fc1ac01

801221633 has 2 divisors, whose sum is σ = 801221634. Its totient is φ = 801221632.

The previous prime is 801221609. The next prime is 801221639. The reversal of 801221633 is 336122108.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 766846864 + 34374769 = 27692^2 + 5863^2 .

It is a cyclic number.

It is not a de Polignac number, because 801221633 - 220 = 800173057 is a prime.

It is a super-2 number, since 2×8012216332 = 1283912210374373378, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (801221639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400610816 + 400610817.

It is an arithmetic number, because the mean of its divisors is an integer number (400610817).

Almost surely, 2801221633 is an apocalyptic number.

It is an amenable number.

801221633 is a deficient number, since it is larger than the sum of its proper divisors (1).

801221633 is an equidigital number, since it uses as much as digits as its factorization.

801221633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 801221633 is about 28305.8586338588. The cubic root of 801221633 is about 928.7900529115.

The spelling of 801221633 in words is "eight hundred one million, two hundred twenty-one thousand, six hundred thirty-three".