Search a number
-
+
22440660 = 2235113281
BaseRepresentation
bin101010110011…
…0101011010100
31120020002210120
41111212223110
521221100120
62120551540
7361512444
oct125465324
946202716
1022440660
1111738000
1276225b0
1348592c8
142da2124
151e84140
hex1566ad4

22440660 has 96 divisors (see below), whose sum is σ = 69358464. Its totient is φ = 5420800.

The previous prime is 22440643. The next prime is 22440679. The reversal of 22440660 is 6604422.

It is a self number, because there is not a number n which added to its sum of digits gives 22440660.

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 31 ways as a sum of consecutive naturals, for example, 79720 + ... + 80000.

It is an arithmetic number, because the mean of its divisors is an integer number (722484).

Almost surely, 222440660 is an apocalyptic number.

22440660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22440660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34679232).

22440660 is an abundant number, since it is smaller than the sum of its proper divisors (46917804).

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

22440660 is a wasteful number, since it uses less digits than its factorization.

22440660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 22440660 is about 4737.1573754732. The cubic root of 22440660 is about 282.0624075953.

The spelling of 22440660 in words is "twenty-two million, four hundred forty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 281 330 363 484 562 605 660 726 843 1124 1210 1331 1405 1452 1686 1815 2420 2662 2810 3091 3372 3630 3993 4215 5324 5620 6182 6655 7260 7986 8430 9273 12364 13310 15455 15972 16860 18546 19965 26620 30910 34001 37092 39930 46365 61820 68002 79860 92730 102003 136004 170005 185460 204006 340010 374011 408012 510015 680020 748022 1020030 1122033 1496044 1870055 2040060 2244066 3740110 4488132 5610165 7480220 11220330 22440660