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221232401322 = 231710928370313
BaseRepresentation
bin1100111000001001111…
…0101000101110101010
3210011001001210102112120
43032002132220232222
512111040443320242
6245344402052110
721661226245452
oct3160236505652
9704031712476
10221232401322
1185907a17609
1236a6234a036
1317b2912425a
14a9c9d2cd62
155b4c4cb1ec
hex33827a8baa

221232401322 has 64 divisors (see below), whose sum is σ = 474467621760. Its totient is φ = 68525512704.

The previous prime is 221232401309. The next prime is 221232401353. The reversal of 221232401322 is 223104232122.

221232401322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221232401292 and 221232401301.

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 31 ways as a sum of consecutive naturals, for example, 3111238 + ... + 3181550.

It is an arithmetic number, because the mean of its divisors is an integer number (7413556590).

Almost surely, 2221232401322 is an apocalyptic number.

221232401322 is an abundant number, since it is smaller than the sum of its proper divisors (253235220438).

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

221232401322 is a wasteful number, since it uses less digits than its factorization.

221232401322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70727.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 221232401322 its reverse (223104232122), we get a palindrome (444336633444).

The spelling of 221232401322 in words is "two hundred twenty-one billion, two hundred thirty-two million, four hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 17 34 51 102 109 218 283 327 566 654 849 1698 1853 3706 4811 5559 9622 11118 14433 28866 30847 61694 70313 92541 140626 185082 210939 421878 524399 1048798 1195321 1573197 2390642 3146394 3585963 7171926 7664117 15328234 19898579 22992351 39797158 45984702 59695737 119391474 130289989 260579978 338275843 390869967 676551686 781739934 1014827529 2029655058 2168945111 4337890222 6506835333 13013670666 36872066887 73744133774 110616200661 221232401322