Search a number
-
+
2221213220306 = 237531137097069
BaseRepresentation
bin100000010100101010100…
…111111111110111010010
321212100100011112210002122
4200110222213333313102
5242343021041022211
64420224500014242
7316322506565303
oct40245247776722
97770304483078
102221213220306
11787013a57413
122ba59b991382
131315c8700bc2
14797160287aa
153cba396a6db
hex2052a9ffdd2

2221213220306 has 64 divisors (see below), whose sum is σ = 3522745144800. Its totient is φ = 1049188847616.

The previous prime is 2221213220263. The next prime is 2221213220357. The reversal of 2221213220306 is 6030223121222.

It can be written as a sum of positive squares in 16 ways, for example, as 35372205625 + 2185841014681 = 188075^2 + 1478459^2 .

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 314215340 + ... + 314222408.

Almost surely, 22221213220306 is an apocalyptic number.

2221213220306 is a deficient number, since it is larger than the sum of its proper divisors (1301531924494).

2221213220306 is a wasteful number, since it uses less digits than its factorization.

2221213220306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7983.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 2221213220306 its reverse (6030223121222), we get a palindrome (8251436341528).

The spelling of 2221213220306 in words is "two trillion, two hundred twenty-one billion, two hundred thirteen million, two hundred twenty thousand, three hundred six".

Divisors: 1 2 37 53 74 106 113 226 709 1418 1961 3922 4181 5989 7069 8362 11978 14138 26233 37577 52466 75154 80117 160234 221593 261553 374657 443186 523106 749314 798797 1390349 1597594 2780698 2964329 4246201 5011921 5928658 8492402 10023842 13862309 27724618 29555489 42336241 59110978 84672482 157109437 185441077 265631813 314218874 370882154 531263626 566347073 1132694146 1566440917 3132881834 9828377081 19656754162 20954841701 30016394869 41909683402 60032789738 1110606610153 2221213220306