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222066 = 23213273
BaseRepresentation
bin110110001101110010
3102021121200
4312031302
524101231
64432030
71613265
oct661562
9367550
10222066
11141929
12a8616
137a100
145acdc
1545be6
hex36372

222066 has 36 divisors (see below), whose sum is σ = 528138. Its totient is φ = 67392.

The previous prime is 222059. The next prime is 222067. The reversal of 222066 is 660222.

222066 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 119025 + 103041 = 345^2 + 321^2 .

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (222067) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3006 + ... + 3078.

2222066 is an apocalyptic number.

222066 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264069).

222066 is an abundant number, since it is smaller than the sum of its proper divisors (306072).

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

222066 is a wasteful number, since it uses less digits than its factorization.

222066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 222066 is about 471.2387929702. The cubic root of 222066 is about 60.5564893695.

Adding to 222066 its reverse (660222), we get a palindrome (882288).

The spelling of 222066 in words is "two hundred twenty-two thousand, sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 169 219 234 338 438 507 657 949 1014 1314 1521 1898 2847 3042 5694 8541 12337 17082 24674 37011 74022 111033 222066