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220212 = 22332039
BaseRepresentation
bin110101110000110100
3102012002000
4311300310
524021322
64415300
71605006
oct656064
9365060
10220212
111404a3
12a7530
1379305
145a376
15453ac
hex35c34

220212 has 24 divisors (see below), whose sum is σ = 571200. Its totient is φ = 73368.

The previous prime is 220189. The next prime is 220217. The reversal of 220212 is 212022.

220212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 220194 and 220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220217) by changing a digit.

220212 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 912 + ... + 1127.

It is an arithmetic number, because the mean of its divisors is an integer number (23800).

2220212 is an apocalyptic number.

It is an amenable number.

220212 is an abundant number, since it is smaller than the sum of its proper divisors (350988).

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

220212 is a wasteful number, since it uses less digits than its factorization.

220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 220212 is about 469.2675143242. The cubic root of 220212 is about 60.3874921105.

Adding to 220212 its reverse (212022), we get a palindrome (432234).

The spelling of 220212 in words is "two hundred twenty thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2039 4078 6117 8156 12234 18351 24468 36702 55053 73404 110106 220212