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30865219225 = 524128572
BaseRepresentation
bin11100101111101101…
…011101111010011001
32221200001100121000121
4130233231131322121
51001202444003400
622102420433241
72141604014611
oct345755357231
987601317017
1030865219225
11120a9680045
125b94848821
132bab701739
1416cb30da41
15c09a8521a
hex72fb5de99

30865219225 has 27 divisors (see below), whose sum is σ = 39274952791. Its totient is φ = 24061817600.

The previous prime is 30865219211. The next prime is 30865219247. The reversal of 30865219225 is 52291256803.

The square root of 30865219225 is 175685.

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

It can be written as a sum of positive squares in 13 ways, for example, as 21291770889 + 9573448336 = 145917^2 + 97844^2 .

It is not a de Polignac number, because 30865219225 - 27 = 30865219097 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 (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36014997 + ... + 36015853.

Almost surely, 230865219225 is an apocalyptic number.

30865219225 is the 175685-th square number.

30865219225 is the 87843-rd centered octagonal number.

It is an amenable number.

30865219225 is a deficient number, since it is larger than the sum of its proper divisors (8409733566).

30865219225 is an frugal number, since it uses more digits than its factorization.

30865219225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 30865219225 in words is "thirty billion, eight hundred sixty-five million, two hundred nineteen thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 857 1025 1681 4285 8405 21425 35137 42025 175685 734449 878425 1440617 3672245 7203085 18361225 30112409 36015425 150562045 752810225 1234608769 6173043845 30865219225