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8229211225 = 52181432
BaseRepresentation
bin1111010100111111…
…11100110001011001
3210020111201020120221
413222133330301121
5113323134224400
63440324320041
7410633066314
oct75237746131
923214636527
108229211225
1135431a2214
121717b43021
13a11b87371
14580cd197b
153326c4c1a
hex1ea7fcc59

8229211225 has 9 divisors (see below), whose sum is σ = 10204784383. Its totient is φ = 6583006120.

The previous prime is 8229211219. The next prime is 8229211231. The reversal of 8229211225 is 5221129228.

It is a happy number.

The square root of 8229211225 is 90715.

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

8229211225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8229211219) and next prime (8229211231).

It can be written as a sum of positive squares in only one way, i.e., 2962516041 + 5266695184 = 54429^2 + 72572^2 .

It is not a de Polignac number, because 8229211225 - 29 = 8229210713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 444504 + ... + 462646.

Almost surely, 28229211225 is an apocalyptic number.

8229211225 is the 90715-th square number.

8229211225 is the 45358-th centered octagonal number.

It is an amenable number.

8229211225 is a deficient number, since it is larger than the sum of its proper divisors (1975573158).

8229211225 is an frugal number, since it uses more digits than its factorization.

8229211225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36296 (or 18148 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The cubic root of 8229211225 is about 2018.9213619324.

The spelling of 8229211225 in words is "eight billion, two hundred twenty-nine million, two hundred eleven thousand, two hundred twenty-five".

Divisors: 1 5 25 18143 90715 453575 329168449 1645842245 8229211225