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222013413541 is a prime number
BaseRepresentation
bin1100111011000100000…
…1111101100010100101
3210020001111101221220001
43032301001331202211
512114140413213131
6245554101541301
722016461610143
oct3166101754245
9706044357801
10222013413541
1186178869657
123703ba14831
1317c21b8966a
14aa61954593
155b95d52261
hex33b107d8a5

222013413541 has 2 divisors, whose sum is σ = 222013413542. Its totient is φ = 222013413540.

The previous prime is 222013413529. The next prime is 222013413547. The reversal of 222013413541 is 145314310222.

222013413541 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., 151188768900 + 70824644641 = 388830^2 + 266129^2 .

It is a cyclic number.

It is not a de Polignac number, because 222013413541 - 29 = 222013413029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222013413547) 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, 111006706770 + 111006706771.

It is an arithmetic number, because the mean of its divisors is an integer number (111006706771).

Almost surely, 2222013413541 is an apocalyptic number.

It is an amenable number.

222013413541 is a deficient number, since it is larger than the sum of its proper divisors (1).

222013413541 is an equidigital number, since it uses as much as digits as its factorization.

222013413541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 222013413541 its reverse (145314310222), we get a palindrome (367327723763).

The spelling of 222013413541 in words is "two hundred twenty-two billion, thirteen million, four hundred thirteen thousand, five hundred forty-one".