Search a number
-
+
223221243304041 = 37910720394317041
BaseRepresentation
bin110010110000010010111110…
…111010011101100001101001
31002021100202001020200011221020
4302300102332322131201221
5213224224101241212131
62110430231251003053
765006126333551533
oct6260227672354151
91067322036604836
10223221243304041
116514166352aa84
1221051932899489
139772899543468
143d19d74304853
151ac176ba9a996
hexcb04bee9d869

223221243304041 has 32 divisors (see below), whose sum is σ = 304361821900800. Its totient is φ = 145485836670720.

The previous prime is 223221243304021. The next prime is 223221243304057. The reversal of 223221243304041 is 140403342122322.

It is a happy number.

It is not a de Polignac number, because 223221243304041 - 229 = 223220706433129 is a prime.

It is a super-3 number, since 3×2232212433040413 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223221243303993 and 223221243304011.

It is not an unprimeable number, because it can be changed into a prime (223221243304021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49548481 + ... + 53865521.

It is an arithmetic number, because the mean of its divisors is an integer number (9511306934400).

Almost surely, 2223221243304041 is an apocalyptic number.

It is an amenable number.

223221243304041 is a deficient number, since it is larger than the sum of its proper divisors (81140578596759).

223221243304041 is a wasteful number, since it uses less digits than its factorization.

223221243304041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319269.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 223221243304041 its reverse (140403342122322), we get a palindrome (363624585426363).

The spelling of 223221243304041 in words is "two hundred twenty-three trillion, two hundred twenty-one billion, two hundred forty-three million, three hundred four thousand, forty-one".

Divisors: 1 3 79 107 237 321 2039 6117 8453 25359 161081 218173 483243 654519 4317041 12951123 17235667 51707001 341046239 461923387 1023138717 1385770161 8802446599 26407339797 36491947573 109475842719 695393281321 941861786093 2086179843963 2825585358279 74407081101347 223221243304041