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222468 = 22318539
BaseRepresentation
bin110110010100000100
3102022011120
4312110010
524104333
64433540
71614411
oct662404
9368146
10222468
11142164
12a88b0
137a34c
145b108
1545db3
hex36504

222468 has 12 divisors (see below), whose sum is σ = 519120. Its totient is φ = 74152.

The previous prime is 222461. The next prime is 222493. The reversal of 222468 is 864222.

222468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×2224682 = 98984022048, which contains 22 as substring.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (222461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9258 + ... + 9281.

It is an arithmetic number, because the mean of its divisors is an integer number (43260).

2222468 is an apocalyptic number.

It is an amenable number.

222468 is an abundant number, since it is smaller than the sum of its proper divisors (296652).

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

222468 is a wasteful number, since it uses less digits than its factorization.

222468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18546 (or 18544 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 222468 is about 471.6651354510. The cubic root of 222468 is about 60.5930085934.

The spelling of 222468 in words is "two hundred twenty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 18539 37078 55617 74156 111234 222468