Search a number
-
+
4224115748226 = 231128388779031
BaseRepresentation
bin111101011110000000111…
…010110010110110000010
3112221211011220000022211210
4331132000322302312002
51023201442112420401
612552310524150550
7614116345303023
oct75360072626602
915854156008753
104224115748226
11138948a243400
125827b3998456
132484423ac7ca
1410863c18ac4a
1574d2b6864d6
hex3d780eb2d82

4224115748226 has 96 divisors (see below), whose sum is σ = 9408667290624. Its totient is φ = 1263171263200.

The previous prime is 4224115748197. The next prime is 4224115748227. The reversal of 4224115748226 is 6228475114224.

4224115748226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4224115748227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53409331 + ... + 53488361.

It is an arithmetic number, because the mean of its divisors is an integer number (98006950944).

Almost surely, 24224115748226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224115748226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704333645312).

4224115748226 is an abundant number, since it is smaller than the sum of its proper divisors (5184551542398).

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

4224115748226 is a wasteful number, since it uses less digits than its factorization.

4224115748226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80028 (or 80017 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 48.

The spelling of 4224115748226 in words is "four trillion, two hundred twenty-four billion, one hundred fifteen million, seven hundred forty-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 83 121 166 242 249 363 498 726 887 913 1774 1826 2661 2739 5322 5478 9757 10043 19514 20086 29271 30129 58542 60258 73621 79031 107327 147242 158062 214654 220863 237093 321981 441726 474186 643962 809831 869341 1619662 1738682 2429493 2608023 4858986 5216046 6559573 8908141 9562751 13119146 17816282 19125502 19678719 26724423 28688253 39357438 53448846 57376506 70100497 72155303 140200994 144310606 210301491 216465909 420602982 432931818 771105467 793708333 1542210934 1587416666 2313316401 2381124999 4626632802 4762249998 5818341251 8482160137 11636682502 16964320274 17455023753 25446480411 34910047506 50892960822 64001753761 128003507522 192005261283 384010522566 704019291371 1408038582742 2112057874113 4224115748226