Search a number
-
+
22018104 = 23321032969
BaseRepresentation
bin101001111111…
…1100000111000
31112102122011100
41103333200320
521114034404
62103531400
7355102503
oct123774070
945378140
1022018104
1111479589
127459b60
13473bb84
142cd213a
151dedd39
hex14ff838

22018104 has 48 divisors (see below), whose sum is σ = 60231600. Its totient is φ = 7265664.

The previous prime is 22018103. The next prime is 22018123. The reversal of 22018104 is 40181022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22018103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5932 + ... + 8900.

It is an arithmetic number, because the mean of its divisors is an integer number (1254825).

Almost surely, 222018104 is an apocalyptic number.

22018104 is a gapful number since it is divisible by the number (24) 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 22018104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30115800).

22018104 is an abundant number, since it is smaller than the sum of its proper divisors (38213496).

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

22018104 is a wasteful number, since it uses less digits than its factorization.

22018104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 22018104 is about 4692.3452558396. The cubic root of 22018104 is about 280.2807727800.

Adding to 22018104 its reverse (40181022), we get a palindrome (62199126).

It can be divided in two parts, 22018 and 104, that added together give a palindrome (22122).

The spelling of 22018104 in words is "twenty-two million, eighteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1854 2472 2969 3708 5938 7416 8907 11876 17814 23752 26721 35628 53442 71256 106884 213768 305807 611614 917421 1223228 1834842 2446456 2752263 3669684 5504526 7339368 11009052 22018104