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2318076225 = 3452173233
BaseRepresentation
bin1000101000101011…
…0000100101000001
312222112212110210000
42022022300211001
514221411414400
61022004230213
7111305215503
oct21212604501
95875773700
102318076225
11a8a547a83
1254839b369
132ac333a4a
1417dc15d73
15d8792600
hex8a2b0941

2318076225 has 120 divisors (see below), whose sum is σ = 4581771480. Its totient is φ = 1158589440.

The previous prime is 2318076217. The next prime is 2318076329. The reversal of 2318076225 is 5226708132.

2318076225 is a `hidden beast` number, since 23 + 1 + 8 + 0 + 7 + 622 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 833592384 + 1484483841 = 28872^2 + 38529^2 .

It is not a de Polignac number, because 2318076225 - 23 = 2318076217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2318076225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9948709 + ... + 9948941.

It is an arithmetic number, because the mean of its divisors is an integer number (38181429).

Almost surely, 22318076225 is an apocalyptic number.

2318076225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2318076225 is a deficient number, since it is larger than the sum of its proper divisors (2263695255).

2318076225 is an equidigital number, since it uses as much as digits as its factorization.

2318076225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2318076225 is about 48146.4040713323. The cubic root of 2318076225 is about 1323.4551783463.

The spelling of 2318076225 in words is "two billion, three hundred eighteen million, seventy-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 225 233 255 289 405 425 459 675 699 765 867 1165 1275 1377 1445 2025 2097 2295 2601 3495 3825 3961 4335 4913 5825 6291 6885 7225 7803 10485 11475 11883 13005 14739 17475 18873 19805 21675 23409 24565 31455 34425 35649 39015 44217 52425 59415 65025 67337 73695 94365 99025 106947 117045 122825 132651 157275 178245 195075 202011 221085 297075 320841 336685 368475 397953 471825 534735 585225 606033 663255 891225 1010055 1105425 1144729 1604205 1683425 1818099 1989765 2673675 3030165 3316275 3434187 5050275 5454297 5723645 8021025 9090495 9948825 10302561 15150825 17170935 27271485 28618225 30907683 45452475 51512805 85854675 92723049 136357425 154538415 257564025 463615245 772692075 2318076225