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222212221001 is a prime number
BaseRepresentation
bin1100111011110011100…
…0010110100001001001
3210020120100111102110022
43032330320112201021
512120042312033001
6250025523030225
722024424466551
oct3167470264111
9706510442408
10222212221001
1186270007641
123709650b375
1317c54116c04
14aa80106161
155ba852311b
hex33bce16849

222212221001 has 2 divisors, whose sum is σ = 222212221002. Its totient is φ = 222212221000.

The previous prime is 222212220973. The next prime is 222212221009. The reversal of 222212221001 is 100122212222.

It is a happy number.

222212221001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138357961225 + 83854259776 = 371965^2 + 289576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222212221001 is a prime.

It is not a weakly prime, because it can be changed into another prime (222212221009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111106110500 + 111106110501.

It is an arithmetic number, because the mean of its divisors is an integer number (111106110501).

Almost surely, 2222212221001 is an apocalyptic number.

It is an amenable number.

222212221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

222212221001 is an equidigital number, since it uses as much as digits as its factorization.

222212221001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222212221001 its reverse (100122212222), we get a palindrome (322334433223).

The spelling of 222212221001 in words is "two hundred twenty-two billion, two hundred twelve million, two hundred twenty-one thousand, one".