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8223043761 = 3216721812
BaseRepresentation
bin1111010100010000…
…11011000010110001
3210020002002220102100
413222020123002301
5113320044400021
63435544211013
7410526501342
oct75210330261
923202086370
108223043761
11353a76a539
121715a69a69
13a1080808a
145801680c9
15331da7626
hex1ea21b0b1

8223043761 has 27 divisors (see below), whose sum is σ = 12015662763. Its totient is φ = 5419096560.

The previous prime is 8223043739. The next prime is 8223043771. The reversal of 8223043761 is 1673403228.

It is a happy number.

The square root of 8223043761 is 90681.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 90611361 + 8132432400 = 9519^2 + 90180^2 .

It is a de Polignac number, because none of the positive numbers 2k-8223043761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8223043711) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45431091 + ... + 45431271.

Almost surely, 28223043761 is an apocalyptic number.

8223043761 is the 90681-st square number.

8223043761 is the 45341-st centered octagonal number.

It is an amenable number.

8223043761 is a deficient number, since it is larger than the sum of its proper divisors (3792619002).

8223043761 is an equidigital number, since it uses as much as digits as its factorization.

8223043761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The cubic root of 8223043761 is about 2018.4168689971.

Multiplying 8223043761 by its sum of digits (36), we get a square (296029575396 = 5440862).

Adding to 8223043761 its reverse (1673403228), we get a palindrome (9896446989).

The spelling of 8223043761 in words is "eight billion, two hundred twenty-three million, forty-three thousand, seven hundred sixty-one".

Divisors: 1 3 9 167 181 501 543 1503 1629 27889 30227 32761 83667 90681 98283 251001 272043 294849 5047909 5471087 15143727 16413261 45431181 49239783 913671529 2741014587 8223043761