Search a number
-
+
2224806468 = 2232319940507
BaseRepresentation
bin1000010010011011…
…1101101001000100
312202001100212201120
42010212331221010
514024022301333
61004433153540
7106063354143
oct20446755104
95661325646
102224806468
11a41933035
125210bb8b0
13295c08741
1417169775a
15d04bbdb3
hex849bda44

2224806468 has 48 divisors (see below), whose sum is σ = 5444275200. Its totient is φ = 705776544.

The previous prime is 2224806449. The next prime is 2224806503. The reversal of 2224806468 is 8646084222.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34671 + ... + 75177.

It is an arithmetic number, because the mean of its divisors is an integer number (113422400).

Almost surely, 22224806468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224806468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722137600).

2224806468 is an abundant number, since it is smaller than the sum of its proper divisors (3219468732).

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

2224806468 is a wasteful number, since it uses less digits than its factorization.

2224806468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40736 (or 40734 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 2224806468 is about 47167.8541805751. The cubic root of 2224806468 is about 1305.4615334391.

The spelling of 2224806468 in words is "two billion, two hundred twenty-four million, eight hundred six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 199 276 398 597 796 1194 2388 4577 9154 13731 18308 27462 40507 54924 81014 121521 162028 243042 486084 931661 1863322 2794983 3726644 5589966 8060893 11179932 16121786 24182679 32243572 48365358 96730716 185400539 370801078 556201617 741602156 1112403234 2224806468