Search a number
-
+
212200220200008 = 233101271332599901
BaseRepresentation
bin110000001111111010110110…
…101111110000110001001000
31000211100010212012100011111010
4300033322312233300301020
5210303142022332400013
62031151234013203520
762460650163052545
oct6017726657606110
91024303765304433
10212200220200008
1161682676288927
121b9719a84905a0
1391535197a83a1
143a5878ca43bcc
15197ec3492d7c3
hexc0feb6bf0c48

212200220200008 has 128 divisors (see below), whose sum is σ = 536169107433600. Its totient is φ = 69978712320000.

The previous prime is 212200220199839. The next prime is 212200220200009. The reversal of 212200220200008 is 800002022002212.

It is not an unprimeable number, because it can be changed into a prime (212200220200009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21432195858 + ... + 21432205758.

It is an arithmetic number, because the mean of its divisors is an integer number (4188821151825).

Almost surely, 2212200220200008 is an apocalyptic number.

It is an amenable number.

212200220200008 is an abundant number, since it is smaller than the sum of its proper divisors (323968887233592).

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

212200220200008 is a wasteful number, since it uses less digits than its factorization.

212200220200008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15983 (or 15979 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The spelling of 212200220200008 in words is "two hundred twelve trillion, two hundred billion, two hundred twenty million, two hundred thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 1212 2424 2713 3259 5426 6518 8139 9777 9901 10852 13036 16278 19554 19802 21704 26072 29703 32556 39108 39604 59406 65112 78216 79208 118812 237624 274013 329159 548026 658318 822039 987477 1000001 1096052 1316636 1644078 1974954 2000002 2192104 2633272 3000003 3288156 3949908 4000004 6000006 6576312 7899816 8000008 8841667 12000012 17683334 24000024 26525001 26861413 32267359 35366668 53050002 53722826 64534718 70733336 80584239 96802077 106100004 107445652 129069436 161168478 193604154 212200008 214891304 258138872 322336956 387208308 644673912 774416616 893008367 1786016734 2679025101 2713002713 3259003259 3572033468 5358050202 5426005426 6518006518 7144066936 8139008139 9777009777 10716100404 10852010852 13036013036 16278016278 19554019554 21432200808 21704021704 26072026072 32556032556 39108039108 65112065112 78216078216 87541344967 175082689934 262624034901 350165379868 525248069802 700330759736 1050496139604 2100992279208 8841675841667 17683351683334 26525027525001 35366703366668 53050055050002 70733406733336 106100110100004 212200220200008