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22006116 = 22321161911
BaseRepresentation
bin101001111110…
…0100101100100
31112102000201100
41103330211210
521113143431
62103400100
7355022526
oct123744544
945360640
1022006116
1111470580
127453030
134736592
142ccba16
151dea4e6
hex14fc964

22006116 has 72 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 6552000.

The previous prime is 22006111. The next prime is 22006121. The reversal of 22006116 is 61160022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22006111) and next prime (22006121).

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 (22006111) 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 23 ways as a sum of consecutive naturals, for example, 23701 + ... + 24611.

It is an arithmetic number, because the mean of its divisors is an integer number (857584).

Almost surely, 222006116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22006116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

22006116 is an abundant number, since it is smaller than the sum of its proper divisors (39739932).

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

22006116 is a wasteful number, since it uses less digits than its factorization.

22006116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 22006116 is about 4691.0676823086. The cubic root of 22006116 is about 280.2298962242.

Adding to 22006116 its reverse (61160022), we get a palindrome (83166138).

It can be divided in two parts, 22006 and 116, that added together give a palindrome (22122).

The spelling of 22006116 in words is "twenty-two million, six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 366 396 549 671 732 911 1098 1342 1822 2013 2196 2684 2733 3644 4026 5466 6039 8052 8199 10021 10932 12078 16398 20042 24156 30063 32796 40084 55571 60126 90189 111142 120252 166713 180378 222284 333426 360756 500139 611281 666852 1000278 1222562 1833843 2000556 2445124 3667686 5501529 7335372 11003058 22006116