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19922166 = 2331123049
BaseRepresentation
bin100101111111…
…1110011110110
31101111011002000
41023333303312
520100002131
61551000130
7331223055
oct113776366
941434060
1019922166
1110277900
126809046
134186b84
14290839c
151b37ce6
hex12ffcf6

19922166 has 48 divisors (see below), whose sum is σ = 48678000. Its totient is φ = 6035040.

The previous prime is 19922143. The next prime is 19922167. The reversal of 19922166 is 66122991.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 19922166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19922167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5010 + ... + 8058.

It is an arithmetic number, because the mean of its divisors is an integer number (1014125).

Almost surely, 219922166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19922166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24339000).

19922166 is an abundant number, since it is smaller than the sum of its proper divisors (28755834).

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

19922166 is a wasteful number, since it uses less digits than its factorization.

19922166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3065 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 19922166 is about 4463.4253662406. The cubic root of 19922166 is about 271.0891805820.

The spelling of 19922166 in words is "nineteen million, nine hundred twenty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3049 3267 6098 6534 9147 18294 27441 33539 54882 67078 82323 100617 164646 201234 301851 368929 603702 737858 905553 1106787 1811106 2213574 3320361 6640722 9961083 19922166