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2221220221249 is a prime number
BaseRepresentation
bin100000010100101011000…
…010101101000101000001
321212100100122201110120211
4200110223002231011001
5242343024334034444
64420225310034121
7316322623234231
oct40245302550501
97770318643524
102221220221249
117870179a9317
122ba5a21a8941
131315c9cb2683
1479716d2bcc1
153cba439ec34
hex2052b0ad141

2221220221249 has 2 divisors, whose sum is σ = 2221220221250. Its totient is φ = 2221220221248.

The previous prime is 2221220221217. The next prime is 2221220221273. The reversal of 2221220221249 is 9421220221222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1732329792400 + 488890428849 = 1316180^2 + 699207^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221220221249 - 25 = 2221220221217 is a prime.

It is a super-2 number, since 2×22212202212492 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2221220221249.

It is not a weakly prime, because it can be changed into another prime (2221220221049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110610110624 + 1110610110625.

It is an arithmetic number, because the mean of its divisors is an integer number (1110610110625).

Almost surely, 22221220221249 is an apocalyptic number.

It is an amenable number.

2221220221249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221220221249 is an equidigital number, since it uses as much as digits as its factorization.

2221220221249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 2221220221249 in words is "two trillion, two hundred twenty-one billion, two hundred twenty million, two hundred twenty-one thousand, two hundred forty-nine".