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82250221320 = 233251571455241
BaseRepresentation
bin100110010011001111…
…1101100011100001000
321212022011022011100100
41030212133230130020
52321422024040240
6101441335405400
75641144226421
oct1144637543410
9255264264310
1082250221320
1131978118723
1213b35523860
1379aa39b517
143da396a648
152215d0ae30
hex13267ec708

82250221320 has 96 divisors (see below), whose sum is σ = 269016036120. Its totient is φ = 21793674240.

The previous prime is 82250221307. The next prime is 82250221337. The reversal of 82250221320 is 2312205228.

82250221320 is a `hidden beast` number, since 8 + 22 + 502 + 2 + 132 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77610159396 + 4640061924 = 278586^2 + 68118^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671101 + ... + 784140.

Almost surely, 282250221320 is an apocalyptic number.

It is an amenable number.

82250221320 is an abundant number, since it is smaller than the sum of its proper divisors (186765814800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82250221320 is a wasteful number, since it uses less digits than its factorization.

82250221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455415 (or 1455408 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 82250221320 its reverse (2312205228), we get a palindrome (84562426548).

The spelling of 82250221320 in words is "eighty-two billion, two hundred fifty million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 314 360 471 628 785 942 1256 1413 1570 1884 2355 2826 3140 3768 4710 5652 6280 7065 9420 11304 14130 18840 28260 56520 1455241 2910482 4365723 5820964 7276205 8731446 11641928 13097169 14552410 17462892 21828615 26194338 29104820 34925784 43657230 52388676 58209640 65485845 87314460 104777352 130971690 174628920 228472837 261943380 456945674 523886760 685418511 913891348 1142364185 1370837022 1827782696 2056255533 2284728370 2741674044 3427092555 4112511066 4569456740 5483348088 6854185110 8225022132 9138913480 10281277665 13708370220 16450044264 20562555330 27416740440 41125110660 82250221320