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82228 = 2261337
BaseRepresentation
bin10100000100110100
311011210111
4110010310
510112403
61432404
7461506
oct240464
9134714
1082228
1156863
123b704
132b573
1421d76
151956d
hex14134

82228 has 12 divisors (see below), whose sum is σ = 146692. Its totient is φ = 40320.

The previous prime is 82223. The next prime is 82231.

82228 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 71824 = 102^2 + 268^2 .

It is a super-2 number, since 2×822282 = 13522887968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82199 and 82208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76 + ... + 412.

282228 is an apocalyptic number.

It is an amenable number.

82228 is a deficient number, since it is larger than the sum of its proper divisors (64464).

82228 is a wasteful number, since it uses less digits than its factorization.

82228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 400 counting only the distinct ones).

The product of its digits is 512, while the sum is 22.

The square root of 82228 is about 286.7542501865. The cubic root of 82228 is about 43.4850435216.

The spelling of 82228 in words is "eighty-two thousand, two hundred twenty-eight".

Divisors: 1 2 4 61 122 244 337 674 1348 20557 41114 82228