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9165190225 = 524124672
BaseRepresentation
bin10001000100100100…
…11011010001010001
3212122201220220101211
420202102123101101
5122232242041400
64113241500121
7443056555132
oct104222332121
925581826354
109165190225
113983569084
1219394a1641
13b30a6a2a9
1462d335c89
1538995bdba
hex22249b451

9165190225 has 27 divisors (see below), whose sum is σ = 11673785041. Its totient is φ = 7138001600.

The previous prime is 9165190217. The next prime is 9165190253. The reversal of 9165190225 is 5220915619.

The square root of 9165190225 is 95735.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3857776321 + 5307413904 = 62111^2 + 72852^2 .

It is not a de Polignac number, because 9165190225 - 23 = 9165190217 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 (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19625442 + ... + 19625908.

Almost surely, 29165190225 is an apocalyptic number.

9165190225 is the 95735-th square number.

9165190225 is the 47868-th centered octagonal number.

It is an amenable number.

9165190225 is a deficient number, since it is larger than the sum of its proper divisors (2508594816).

9165190225 is an frugal number, since it uses more digits than its factorization.

9165190225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 40.

The cubic root of 9165190225 is about 2092.7330243743.

The spelling of 9165190225 in words is "nine billion, one hundred sixty-five million, one hundred ninety thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 467 1025 1681 2335 8405 11675 19147 42025 95735 218089 478675 785027 1090445 3925135 5452225 8941649 19625675 44708245 223541225 366607609 1833038045 9165190225