Search a number
-
+
221770954316061 = 331931122691136623
BaseRepresentation
bin110010011011001100010010…
…111101000001100100011101
31002002020002121010002002212000
4302123030102331001210131
5213031443403301103221
62103400100412432513
764466264662552263
oct6233142275014435
91062202533062760
10221770954316061
11647325961777a7
1220a58843a78739
139698bb0056187
143ca9ab2c60433
151a98b88a0ee26
hexc9b312f4191d

221770954316061 has 64 divisors (see below), whose sum is σ = 357027237888000. Its totient is φ = 135536444925120.

The previous prime is 221770954316059. The next prime is 221770954316083. The reversal of 221770954316061 is 160613459077122.

221770954316061 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 7 + 0 + 95 + 431 + 60 + 61 = 666.

It is not a de Polignac number, because 221770954316061 - 21 = 221770954316059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221770954315989 and 221770954316007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221770954314061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194545596 + ... + 195682218.

It is an arithmetic number, because the mean of its divisors is an integer number (5578550592000).

Almost surely, 2221770954316061 is an apocalyptic number.

It is an amenable number.

221770954316061 is a deficient number, since it is larger than the sum of its proper divisors (135256283571939).

221770954316061 is a wasteful number, since it uses less digits than its factorization.

221770954316061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148951 (or 1148945 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 221770954316061 in words is "two hundred twenty-one trillion, seven hundred seventy billion, nine hundred fifty-four million, three hundred sixteen thousand, sixty-one".

Divisors: 1 3 9 19 27 31 57 93 171 279 513 589 837 1767 5301 12269 15903 36807 110421 233111 331263 380339 699333 1136623 1141017 2097999 3409869 3423051 6293997 7226441 10229607 10269153 21595837 21679323 30688821 35235313 64787511 65037969 105705939 194362533 195113907 317117817 583087599 669470947 951353451 2008412841 6025238523 13945227587 18075715569 41835682761 125507048283 264959324153 376521144849 432302055197 794877972459 1296906165591 2384633917377 3890718496773 7153901752131 8213739048743 11672155490319 24641217146229 73923651438687 221770954316061