Search a number
-
+
22136730 = 2357211372
BaseRepresentation
bin101010001110…
…0011110011010
31112122122212220
41110130132122
521131333410
62110244510
7356105400
oct124343632
945578786
1022136730
111154a720
1274b6736
134780b75
142d23470
151e24070
hex151c79a

22136730 has 144 divisors (see below), whose sum is σ = 69291936. Its totient is φ = 4475520.

The previous prime is 22136687. The next prime is 22136731. The reversal of 22136730 is 3763122.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22136730.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22136731) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 598272 + ... + 598308.

It is an arithmetic number, because the mean of its divisors is an integer number (481194).

Almost surely, 222136730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22136730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34645968).

22136730 is an abundant number, since it is smaller than the sum of its proper divisors (47155206).

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

22136730 is a wasteful number, since it uses less digits than its factorization.

22136730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 22136730 is about 4704.9686502675. The cubic root of 22136730 is about 280.7832237686.

Adding to 22136730 its reverse (3763122), we get a palindrome (25899852).

The spelling of 22136730 in words is "twenty-two million, one hundred thirty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 37 42 49 55 66 70 74 77 98 105 110 111 147 154 165 185 210 222 231 245 259 294 330 370 385 407 462 490 518 539 555 735 770 777 814 1078 1110 1155 1221 1295 1369 1470 1554 1617 1813 2035 2310 2442 2590 2695 2738 2849 3234 3626 3885 4070 4107 5390 5439 5698 6105 6845 7770 8085 8214 8547 9065 9583 10878 12210 13690 14245 15059 16170 17094 18130 19166 19943 20535 27195 28490 28749 30118 39886 41070 42735 45177 47915 54390 57498 59829 67081 75295 85470 90354 95830 99715 105413 119658 134162 143745 150590 199430 201243 210826 225885 287490 299145 316239 335405 402486 451770 527065 598290 632478 670810 737891 1006215 1054130 1475782 1581195 2012430 2213673 3162390 3689455 4427346 7378910 11068365 22136730