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221795316338 = 217219210312
BaseRepresentation
bin1100111010010000000…
…1111111001001110010
3210012111022000110202212
43032210001333021302
512113214100110323
6245520311212122
722011203040221
oct3164401771162
9705438013685
10221795316338
1186076745a32
1236b9a977042
1317bb893706b
14aa409c0cb8
155b81b20b78
hex33a407f272

221795316338 has 54 divisors (see below), whose sum is σ = 373356207693. Its totient is φ = 98784976320.

The previous prime is 221795316311. The next prime is 221795316367. The reversal of 221795316338 is 833613597122.

221795316338 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 202992599209 + 18802717129 = 450547^2 + 137123^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333013.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 215125883 + ... + 215126913.

Almost surely, 2221795316338 is an apocalyptic number.

221795316338 is a deficient number, since it is larger than the sum of its proper divisors (151560891355).

221795316338 is an equidigital number, since it uses as much as digits as its factorization.

221795316338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 1069 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 50.

Multiplying 221795316338 by its sum of digits (50), we get a square (11089765816900 = 33301302).

The spelling of 221795316338 in words is "two hundred twenty-one billion, seven hundred ninety-five million, three hundred sixteen thousand, three hundred thirty-eight".

Divisors: 1 2 17 19 34 38 289 323 361 578 646 722 1031 2062 5491 6137 10982 12274 17527 19589 35054 39178 104329 208658 297959 333013 372191 595918 666026 744382 1062961 2125922 5661221 6327247 11322442 12654494 18070337 20196259 36140674 40392518 107563199 215126398 307195729 343336403 383728921 614391458 686672806 767457842 5836718851 6523391657 11673437702 13046783314 110897658169 221795316338