Search a number
-
+
22668740 = 225432613
BaseRepresentation
bin101011001111…
…0010111000100
31120122200122222
41112132113010
521300344430
62125511512
7363452423
oct126362704
946580588
1022668740
11118833a6
127712598
134909073
1430212ba
151ecb9e5
hex159e5c4

22668740 has 36 divisors (see below), whose sum is σ = 48816684. Its totient is φ = 8842176.

The previous prime is 22668733. The next prime is 22668757. The reversal of 22668740 is 4786622.

It can be written as a sum of positive squares in 2 ways, for example, as 2669956 + 19998784 = 1634^2 + 4472^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22668740.

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 11 ways as a sum of consecutive naturals, for example, 36674 + ... + 37286.

It is an arithmetic number, because the mean of its divisors is an integer number (1356019).

Almost surely, 222668740 is an apocalyptic number.

22668740 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 22668740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24408342).

22668740 is an abundant number, since it is smaller than the sum of its proper divisors (26147944).

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

22668740 is a wasteful number, since it uses less digits than its factorization.

22668740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 22668740 is about 4761.1700242692. The cubic root of 22668740 is about 283.0147869427.

The spelling of 22668740 in words is "twenty-two million, six hundred sixty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 613 860 1226 1849 2452 3065 3698 6130 7396 9245 12260 18490 26359 36980 52718 105436 131795 263590 527180 1133437 2266874 4533748 5667185 11334370 22668740