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8223443228 = 227211131811621
BaseRepresentation
bin1111010100010011…
…11100100100011100
3210020002212012101102
413222021330210130
5113320200140403
63440000532232
7410533054100
oct75211744434
923202765342
108223443228
11353aa12680
121716021078
13a10917b50
1458022d900
15331e35b88
hex1ea27c91c

8223443228 has 144 divisors (see below), whose sum is σ = 19788114528. Its totient is φ = 2939328000.

The previous prime is 8223443213. The next prime is 8223443231.

8223443228 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8223443191 and 8223443200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5072258 + ... + 5073878.

It is an arithmetic number, because the mean of its divisors is an integer number (137417462).

Almost surely, 28223443228 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 8223443228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894057264).

8223443228 is an abundant number, since it is smaller than the sum of its proper divisors (11564671300).

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

8223443228 is a wasteful number, since it uses less digits than its factorization.

8223443228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1835 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The square root of 8223443228 is about 90683.2025680611. The cubic root of 8223443228 is about 2018.4495526723.

The spelling of 8223443228 in words is "eight billion, two hundred twenty-three million, four hundred forty-three thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 181 182 196 286 308 362 364 539 572 637 724 1001 1078 1267 1274 1621 1991 2002 2156 2353 2534 2548 3242 3982 4004 4706 5068 6484 7007 7964 8869 9412 11347 13937 14014 16471 17738 17831 21073 22694 25883 27874 28028 32942 35476 35662 42146 45388 51766 55748 65884 71324 79429 84292 97559 103532 115297 124817 147511 158858 181181 195118 230594 231803 249634 293401 295022 317716 362362 390236 461188 463606 499268 586802 590044 724724 873719 927212 1032577 1173604 1268267 1622621 1747438 2053807 2065154 2536534 3227411 3245242 3494876 3814213 4107614 4130308 5073068 6454822 6490484 7628426 8215228 11358347 12909644 14376649 15256852 22591877 22716694 26699491 28753298 41956343 45183754 45433388 53398982 57506596 83912686 90367508 106797964 158143139 167825372 186896437 293694401 316286278 373792874 587388802 632572556 747585748 1174777604 2055860807 4111721614 8223443228