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68310225 = 3252192292
BaseRepresentation
bin1000001001001…
…01010011010001
311202112112000100
410010211103101
5114441411400
610440043013
71456425114
oct404452321
9152475010
1068310225
1135617535
121aa63469
13111c9669
14910257b
155ee5100
hex41254d1

68310225 has 81 divisors (see below), whose sum is σ = 133735953. Its totient is φ = 33324480.

The previous prime is 68310211. The next prime is 68310247. The reversal of 68310225 is 52201386.

The square root of 68310225 is 8265.

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 938961 + 67371264 = 969^2 + 8208^2 .

It is not a de Polignac number, because 68310225 - 29 = 68309713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2355511 + ... + 2355539.

Almost surely, 268310225 is an apocalyptic number.

68310225 is the 8265-th square number.

68310225 is the 4133-rd centered octagonal number.

It is an amenable number.

68310225 is a deficient number, since it is larger than the sum of its proper divisors (65425728).

68310225 is a wasteful number, since it uses less digits than its factorization.

68310225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 68310225 is about 408.7852703622.

The spelling of 68310225 in words is "sixty-eight million, three hundred ten thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 29 45 57 75 87 95 145 171 225 261 285 361 435 475 551 725 841 855 1083 1305 1425 1653 1805 2175 2523 2755 3249 4205 4275 4959 5415 6525 7569 8265 9025 10469 12615 13775 15979 16245 21025 24795 27075 31407 37845 41325 47937 52345 63075 79895 81225 94221 123975 143811 157035 189225 239685 261725 303601 399475 471105 719055 785175 910803 1198425 1518005 2355525 2732409 3595275 4554015 7590025 13662045 22770075 68310225