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9997000225 = 52199972
BaseRepresentation
bin10010100111101111…
…00001111000100001
3221210201010020012121
421103313201320201
5130433213001400
64331554224241
7502510046152
oct112367417041
927721106177
109997000225
114270056263
121b2bb85081
13c341a9c64
146ab9c1929
153d79b921a
hex253de1e21

9997000225 has 9 divisors (see below), whose sum is σ = 12396900217. Its totient is φ = 7997200240.

The previous prime is 9997000219. The next prime is 9997000231. The reversal of 9997000225 is 5220007999.

The square root of 9997000225 is 99985.

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

9997000225 is digitally balanced in base 2 and base 3, because in such bases 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 (9997000219) and next prime (9997000231).

It can be written as a sum of positive squares in 4 ways, for example, as 730242529 + 9266757696 = 27023^2 + 96264^2 .

It is not a de Polignac number, because 9997000225 - 23 = 9997000217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 489927 + ... + 509923.

Almost surely, 29997000225 is an apocalyptic number.

9997000225 is the 99985-th square number.

9997000225 is the 49993-rd centered octagonal number.

It is an amenable number.

9997000225 is a deficient number, since it is larger than the sum of its proper divisors (2399899992).

9997000225 is an frugal number, since it uses more digits than its factorization.

9997000225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40004 (or 20002 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The cubic root of 9997000225 is about 2154.2192411764.

The spelling of 9997000225 in words is "nine billion, nine hundred ninety-seven million, two hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 25 19997 99985 499925 399880009 1999400045 9997000225