Search a number
-
+
22980 = 2235383
BaseRepresentation
bin101100111000100
31011112010
411213010
51213410
6254220
7123666
oct54704
934463
1022980
11162a1
1211370
13a5c9
148536
156c20
hex59c4

22980 has 24 divisors (see below), whose sum is σ = 64512. Its totient is φ = 6112.

The previous prime is 22973. The next prime is 22993. The reversal of 22980 is 8922.

It is a plaindrome in base 7.

It is an unprimeable number.

22980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132 + ... + 251.

It is an arithmetic number, because the mean of its divisors is an integer number (2688).

222980 is an apocalyptic number.

22980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22980 is an abundant number, since it is smaller than the sum of its proper divisors (41532).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256).

22980 is a wasteful number, since it uses less digits than its factorization.

22980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 22980 is about 151.5915564931. The cubic root of 22980 is about 28.4304243154.

The spelling of 22980 in words is "twenty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 383 766 1149 1532 1915 2298 3830 4596 5745 7660 11490 22980