Search a number
-
+
22004140 = 2256716421
BaseRepresentation
bin101001111110…
…0000110101100
31112101221000011
41103330012230
521113113030
62103343004
7355014004
oct123740654
945357004
1022004140
111146a044
127451a64
134735702
142ccb004
151de9b2a
hex14fc1ac

22004140 has 24 divisors (see below), whose sum is σ = 46901232. Its totient is φ = 8669760.

The previous prime is 22004119. The next prime is 22004149. The reversal of 22004140 is 4140022.

It is a self number, because there is not a number n which added to its sum of digits gives 22004140.

It is not an unprimeable number, because it can be changed into a prime (22004149) 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 7 ways as a sum of consecutive naturals, for example, 6871 + ... + 9550.

It is an arithmetic number, because the mean of its divisors is an integer number (1954218).

Almost surely, 222004140 is an apocalyptic number.

22004140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22004140 is an abundant number, since it is smaller than the sum of its proper divisors (24897092).

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

22004140 is a wasteful number, since it uses less digits than its factorization.

22004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16497 (or 16495 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 22004140 is about 4690.8570645459. The cubic root of 22004140 is about 280.2215083917.

Adding to 22004140 its reverse (4140022), we get a palindrome (26144162).

The spelling of 22004140 in words is "twenty-two million, four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 1340 16421 32842 65684 82105 164210 328420 1100207 2200414 4400828 5501035 11002070 22004140