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8221230241 = 72129532
BaseRepresentation
bin1111010100000011…
…00000010010100001
3210012221200202201221
413222001200102201
5113314113331431
63435441255041
7410505206200
oct75201402241
923187622657
108221230241
113539740a64
121715334481
13a103217a3
1457dc15237
15331b4a111
hex1ea0604a1

8221230241 has 9 divisors (see below), whose sum is σ = 9564210291. Its totient is φ = 7046224752.

The previous prime is 8221230223. The next prime is 8221230257. The reversal of 8221230241 is 1420321228.

The square root of 8221230241 is 90671.

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., 774230625 + 7446999616 = 27825^2 + 86296^2 .

It is not a de Polignac number, because 8221230241 - 211 = 8221228193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8221230041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 628221 + ... + 641173.

Almost surely, 28221230241 is an apocalyptic number.

8221230241 is the 90671-st square number.

8221230241 is the 45336-th centered octagonal number.

It is an amenable number.

8221230241 is a deficient number, since it is larger than the sum of its proper divisors (1342980050).

8221230241 is an frugal number, since it uses more digits than its factorization.

8221230241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25920 (or 12960 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The cubic root of 8221230241 is about 2018.2684767232.

Multiplying 8221230241 by its sum of digits (25), we get a square (205530756025 = 4533552).

Adding to 8221230241 its reverse (1420321228), we get a palindrome (9641551469).

The spelling of 8221230241 in words is "eight billion, two hundred twenty-one million, two hundred thirty thousand, two hundred forty-one".

Divisors: 1 7 49 12953 90671 634697 167780209 1174461463 8221230241