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22018122 = 2337311879
BaseRepresentation
bin101001111111…
…1100001001010
31112102122012000
41103333201022
521114034442
62103531430
7355102530
oct123774112
945378160
1022018122
11114795a5
127459b76
13473bb99
142cd2150
151dedd4c
hex14ff84a

22018122 has 64 divisors (see below), whose sum is σ = 57753600. Its totient is φ = 6084720.

The previous prime is 22018103. The next prime is 22018123. The reversal of 22018122 is 22181022.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 22018095 and 22018104.

It is not an unprimeable number, because it can be changed into a prime (22018123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10779 + ... + 12657.

It is an arithmetic number, because the mean of its divisors is an integer number (902400).

Almost surely, 222018122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22018122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28876800).

22018122 is an abundant number, since it is smaller than the sum of its proper divisors (35735478).

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

22018122 is a wasteful number, since it uses less digits than its factorization.

22018122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1922 counting only the distinct ones).

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

The square root of 22018122 is about 4692.3471738566. The cubic root of 22018122 is about 280.2808491573.

Adding to 22018122 its reverse (22181022), we get a palindrome (44199144).

The spelling of 22018122 in words is "twenty-two million, eighteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1879 1953 3758 3906 5637 5859 11274 11718 13153 16911 26306 33822 39459 50733 58249 78918 101466 116498 118377 174747 236754 349494 355131 407743 524241 710262 815486 1048482 1223229 1572723 2446458 3145446 3669687 7339374 11009061 22018122