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221432144023316 = 22531378578896177
BaseRepresentation
bin110010010110010000110000…
…010010010100111100010100
31002001000201001211201221011002
4302112100300102110330110
5213010421012332221231
62102540304520202432
764432641644565242
oct6226206022247424
91061021054657132
10221432144023316
11646119326390a6
1220a03049009418
139672c667a4605
143c97531561792
151a8ee590200cb
hexc96430494f14

221432144023316 has 48 divisors (see below), whose sum is σ = 398163676646736. Its totient is φ = 107708351422464.

The previous prime is 221432144023241. The next prime is 221432144023403. The reversal of 221432144023316 is 613320441234122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 100653143020816 + 120779001002500 = 10032604^2 + 10989950^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221432144023316.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 20442620 + ... + 29338796.

It is an arithmetic number, because the mean of its divisors is an integer number (8295076596807).

Almost surely, 2221432144023316 is an apocalyptic number.

It is an amenable number.

221432144023316 is a deficient number, since it is larger than the sum of its proper divisors (176731532623420).

221432144023316 is a wasteful number, since it uses less digits than its factorization.

221432144023316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8897228 (or 8897226 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

Adding to 221432144023316 its reverse (613320441234122), we get a palindrome (834752585257438).

The spelling of 221432144023316 in words is "two hundred twenty-one trillion, four hundred thirty-two billion, one hundred forty-four million, twenty-three thousand, three hundred sixteen".

Divisors: 1 2 4 53 106 137 212 274 548 857 1714 3428 7261 14522 29044 45421 90842 117409 181684 234818 469636 6222677 8896177 12445354 17792354 24890708 35584708 471497381 942994762 1218776249 1885989524 2437552498 4875104996 7624023689 15248047378 30496094756 64595141197 129190282394 258380564788 404073255517 808146511034 1044491245393 1616293022068 2088982490786 4177964981572 55358036005829 110716072011658 221432144023316