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22284281681 is a prime number
BaseRepresentation
bin10100110000001111…
…110010011101010001
32010112000210210121222
4110300033302131101
5331114234003211
614123125254425
71416140161154
oct246017623521
963460723558
1022284281681
1194a5994722
12439ab64415
132141a084bc
141115821c9b
158a65851db
hex5303f2751

22284281681 has 2 divisors, whose sum is σ = 22284281682. Its totient is φ = 22284281680.

The previous prime is 22284281641. The next prime is 22284281693. The reversal of 22284281681 is 18618248222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17797961281 + 4486320400 = 133409^2 + 66980^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22284281681 is a prime.

It is a super-2 number, since 2×222842816812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22284281641) 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, 11142140840 + 11142140841.

It is an arithmetic number, because the mean of its divisors is an integer number (11142140841).

Almost surely, 222284281681 is an apocalyptic number.

It is an amenable number.

22284281681 is a deficient number, since it is larger than the sum of its proper divisors (1).

22284281681 is an equidigital number, since it uses as much as digits as its factorization.

22284281681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 196608, while the sum is 44.

The spelling of 22284281681 in words is "twenty-two billion, two hundred eighty-four million, two hundred eighty-one thousand, six hundred eighty-one".