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9709146225 = 325265692
BaseRepresentation
bin10010000101011010…
…11101000001110001
3221001122110201202100
421002231131001301
5124341020134400
64243232411013
7462413244522
oct110255350161
927048421670
109709146225
114132618299
121a6b6a6a69
13bb967274c
14681690849
153bc5a9100
hex242b5d071

9709146225 has 27 divisors (see below), whose sum is σ = 17392807393. Its totient is φ = 5177423040.

The previous prime is 9709146179. The next prime is 9709146229. The reversal of 9709146225 is 5226419079.

The square root of 9709146225 is 98535.

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

9709146225 is a `hidden beast` number, since 9 + 7 + 0 + 9 + 14 + 622 + 5 = 666.

9709146225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 968392161 + 8740754064 = 31119^2 + 93492^2 .

It is a de Polignac number, because none of the positive numbers 2k-9709146225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9709146229) 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, 1474741 + ... + 1481309.

Almost surely, 29709146225 is an apocalyptic number.

9709146225 is the 98535-th square number.

9709146225 is the 49268-th centered octagonal number.

It is an amenable number.

9709146225 is a deficient number, since it is larger than the sum of its proper divisors (7683661168).

9709146225 is an frugal number, since it uses more digits than its factorization.

9709146225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13154 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 9709146225 is about 2133.3413304686.

The spelling of 9709146225 in words is "nine billion, seven hundred nine million, one hundred forty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 6569 19707 32845 59121 98535 164225 295605 492675 1478025 43151761 129455283 215758805 388365849 647276415 1078794025 1941829245 3236382075 9709146225