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8223769225 = 527225912
BaseRepresentation
bin1111010100010110…
…01100001010001001
3210020010110202120101
413222023030022021
5113320241103400
63440011525401
7410535612400
oct75213141211
923203422511
108223769225
1135401155a1
121716159861
13a10a00349
145802b6637
15331e9c56a
hex1ea2cc289

8223769225 has 27 divisors (see below), whose sum is σ = 11866947591. Its totient is φ = 5636979600.

The previous prime is 8223769223. The next prime is 8223769283. The reversal of 8223769225 is 5229673228.

It is a happy number.

The square root of 8223769225 is 90685.

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., 2960556921 + 5263212304 = 54411^2 + 72548^2 .

It is not a de Polignac number, because 8223769225 - 21 = 8223769223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8223769223) 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, 3172680 + ... + 3175270.

Almost surely, 28223769225 is an apocalyptic number.

8223769225 is the 90685-th square number.

8223769225 is the 45343-rd centered octagonal number.

It is an amenable number.

8223769225 is a deficient number, since it is larger than the sum of its proper divisors (3643178366).

8223769225 is an frugal number, since it uses more digits than its factorization.

8223769225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 2603 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The cubic root of 8223769225 is about 2018.4762243793.

The spelling of 8223769225 in words is "eight billion, two hundred twenty-three million, seven hundred sixty-nine thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 2591 12955 18137 64775 90685 126959 453425 634795 3173975 6713281 33566405 46992967 167832025 234964835 328950769 1174824175 1644753845 8223769225