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22252588769 is a prime number
BaseRepresentation
bin10100101110010110…
…111000111011100001
32010102211011122010102
4110232112320323201
5331033130320034
614120034112145
71415303612045
oct245626707341
963384148112
1022252588769
11948a008334
12439041b655
13213828cab8
141111532025
158a38c497e
hex52e5b8ee1

22252588769 has 2 divisors, whose sum is σ = 22252588770. Its totient is φ = 22252588768.

The previous prime is 22252588751. The next prime is 22252588811. The reversal of 22252588769 is 96788525222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18171040000 + 4081548769 = 134800^2 + 63887^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22252588769 is a prime.

It is a super-2 number, since 2×222525887692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22252588669) 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, 11126294384 + 11126294385.

It is an arithmetic number, because the mean of its divisors is an integer number (11126294385).

Almost surely, 222252588769 is an apocalyptic number.

It is an amenable number.

22252588769 is a deficient number, since it is larger than the sum of its proper divisors (1).

22252588769 is an equidigital number, since it uses as much as digits as its factorization.

22252588769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9676800, while the sum is 56.

The spelling of 22252588769 in words is "twenty-two billion, two hundred fifty-two million, five hundred eighty-eight thousand, seven hundred sixty-nine".