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10022166 = 23272111033
BaseRepresentation
bin100110001110…
…110100010110
3200212011211100
4212032310112
510031202131
6554450530
7151121100
oct46166426
920764740
1010022166
115725890
123433a46
1320cb99b
14148c570
15d2e7e6
hex98ed16

10022166 has 72 divisors (see below), whose sum is σ = 27582984. Its totient is φ = 2600640.

The previous prime is 10022161. The next prime is 10022183. The reversal of 10022166 is 66122001.

It is a happy number.

10022166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100221662 = 200887622663112, which contains 22 as substring.

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 (10022161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9186 + ... + 10218.

It is an arithmetic number, because the mean of its divisors is an integer number (383097).

Almost surely, 210022166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13791492).

10022166 is an abundant number, since it is smaller than the sum of its proper divisors (17560818).

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

10022166 is a wasteful number, since it uses less digits than its factorization.

10022166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1056 counting only the distinct ones).

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

The square root of 10022166 is about 3165.7804724902. The cubic root of 10022166 is about 215.6025355299.

Adding to 10022166 its reverse (66122001), we get a palindrome (76144167).

The spelling of 10022166 in words is "ten million, twenty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1033 1078 1386 1617 2066 3099 3234 4851 6198 7231 9297 9702 11363 14462 18594 21693 22726 34089 43386 50617 65079 68178 79541 101234 102267 130158 151851 159082 204534 238623 303702 455553 477246 556787 715869 911106 1113574 1431738 1670361 3340722 5011083 10022166