Search a number
-
+
221044736175072 = 25323113885936643
BaseRepresentation
bin110010010000100111111100…
…111110101010101111100000
31001222122200002201112011000020
4302100213330332222233200
5212433044104430100242
62102042314441353440
764362645424322025
oct6220477476525740
91058580081464006
10221044736175072
1164482600a45797
122095bb4aa98880
139645576ba9354
143c8289d8bd54c
151a84d32d646ec
hexc909fcfaabe0

221044736175072 has 96 divisors (see below), whose sum is σ = 610828509811968. Its totient is φ = 69854332348416.

The previous prime is 221044736175061. The next prime is 221044736175091. The reversal of 221044736175072 is 270571637440122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442718818 + ... + 443217825.

It is an arithmetic number, because the mean of its divisors is an integer number (6362796977208).

Almost surely, 2221044736175072 is an apocalyptic number.

It is an amenable number.

221044736175072 is an abundant number, since it is smaller than the sum of its proper divisors (389783773636896).

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

221044736175072 is a wasteful number, since it uses less digits than its factorization.

221044736175072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885936792 (or 885936784 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 221044736175072 in words is "two hundred twenty-one trillion, forty-four billion, seven hundred thirty-six million, one hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 113 138 184 226 276 339 368 452 552 678 736 904 1104 1356 1808 2208 2599 2712 3616 5198 5424 7797 10396 10848 15594 20792 31188 41584 62376 83168 124752 249504 885936643 1771873286 2657809929 3543746572 5315619858 7087493144 10631239716 14174986288 20376542789 21262479432 28349972576 40753085578 42524958864 61129628367 81506171156 85049917728 100110840659 122259256734 163012342312 200221681318 244518513468 300332521977 326024684624 400443362636 489037026936 600665043954 652049369248 800886725272 978074053872 1201330087908 1601773450544 1956148107744 2302549335157 2402660175816 3203546901088 4605098670314 4805320351632 6907648005471 9210197340628 9610640703264 13815296010942 18420394681256 27630592021884 36840789362512 55261184043768 73681578725024 110522368087536 221044736175072