Search a number
-
+
22450806 = 23272361127
BaseRepresentation
bin101010110100…
…1001001110110
31120020121201100
41111221021312
521221411211
62121110530
7361554150
oct125511166
946217640
1022450806
1111744694
127628446
134860b01
142da5ad0
151e87156
hex1569276

22450806 has 96 divisors (see below), whose sum is σ = 59424768. Its totient is φ = 5987520.

The previous prime is 22450781. The next prime is 22450817. The reversal of 22450806 is 60805422.

It is a self number, because there is not a number n which added to its sum of digits gives 22450806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176715 + ... + 176841.

It is an arithmetic number, because the mean of its divisors is an integer number (619008).

Almost surely, 222450806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22450806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29712384).

22450806 is an abundant number, since it is smaller than the sum of its proper divisors (36973962).

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

22450806 is a wasteful number, since it uses less digits than its factorization.

22450806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22450806 is about 4738.2281498467. The cubic root of 22450806 is about 282.1049104153.

The spelling of 22450806 in words is "twenty-two million, four hundred fifty thousand, eight hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 61 63 69 122 126 127 138 161 183 207 254 322 366 381 414 427 483 549 762 854 889 966 1098 1143 1281 1403 1449 1778 2286 2562 2667 2806 2898 2921 3843 4209 5334 5842 7686 7747 8001 8418 8763 9821 12627 15494 16002 17526 19642 20447 23241 25254 26289 29463 40894 46482 52578 54229 58926 61341 69723 88389 108458 122682 139446 162687 176778 178181 184023 325374 356362 368046 488061 534543 976122 1069086 1247267 1603629 2494534 3207258 3741801 7483602 11225403 22450806