Search a number
-
+
221780664008 = 233124121312
BaseRepresentation
bin1100111010001100101…
…0000101111011001000
3210012110021110001112222
43032203022011323020
512113201322222013
6245515025153212
722010634353111
oct3164312057310
9705407401488
10221780664008
1186069448472
1236b95a8b808
1317bb58a6a47
14aa3ca89208
155b806c9508
hex33a3285ec8

221780664008 has 108 divisors (see below), whose sum is σ = 443809021905. Its totient is φ = 103896624000.

The previous prime is 221780663941. The next prime is 221780664029. The reversal of 221780664008 is 800466087122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 158386488484 + 63394175524 = 397978^2 + 251782^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333002.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221780664008.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1692982103 + ... + 1692982233.

Almost surely, 2221780664008 is an apocalyptic number.

It is an amenable number.

221780664008 is an abundant number, since it is smaller than the sum of its proper divisors (222028357897).

221780664008 is an equidigital number, since it uses as much as digits as its factorization.

221780664008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 221780664008 in words is "two hundred twenty-one billion, seven hundred eighty million, six hundred sixty-four thousand, eight".

Divisors: 1 2 4 8 31 41 62 82 124 131 164 248 262 328 524 961 1048 1271 1681 1922 2542 3362 3844 4061 5084 5371 6724 7688 8122 10168 10742 13448 16244 17161 21484 32488 34322 39401 42968 52111 68644 78802 104222 125891 137288 157604 166501 208444 220211 251782 315208 333002 416888 440422 503564 531991 666004 703601 880844 1007128 1063982 1332008 1407202 1615441 1761688 2127964 2814404 3230882 4255928 5161531 5628808 6461764 6826541 10323062 12923528 13653082 16491721 20646124 21811631 27306164 28847641 32983442 41292248 43623262 54612328 57695282 65966884 87246524 115390564 131933768 174493048 211622771 230781128 423245542 676160561 846491084 894276871 1352321122 1692982168 1788553742 2704642244 3577107484 5409284488 7154214968 27722583001 55445166002 110890332004 221780664008