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2220012220229 is a prime number
BaseRepresentation
bin100000010011100011000…
…010100010111101000101
321212020020110122122201022
4200103203002202331011
5242333041112021404
64415505354240525
7316250654343326
oct40234302427505
97766213578638
102220012220229
11786558028271
122ba305726145
1313146694947b
147964071844d
153cb332d38be
hex204e30a2f45

2220012220229 has 2 divisors, whose sum is σ = 2220012220230. Its totient is φ = 2220012220228.

The previous prime is 2220012220199. The next prime is 2220012220247. The reversal of 2220012220229 is 9220222100222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2215185722500 + 4826497729 = 1488350^2 + 69473^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220012220229 - 228 = 2219743784773 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2220012220198 and 2220012220207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220012220289) 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, 1110006110114 + 1110006110115.

It is an arithmetic number, because the mean of its divisors is an integer number (1110006110115).

Almost surely, 22220012220229 is an apocalyptic number.

It is an amenable number.

2220012220229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220012220229 is an equidigital number, since it uses as much as digits as its factorization.

2220012220229 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 spelling of 2220012220229 in words is "two trillion, two hundred twenty billion, twelve million, two hundred twenty thousand, two hundred twenty-nine".