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22212 = 2232617
BaseRepresentation
bin101011011000100
31010110200
411123010
51202322
6250500
7121521
oct53304
933420
1022212
1115763
1210a30
13a158
148148
1568ac
hex56c4

22212 has 18 divisors (see below), whose sum is σ = 56238. Its totient is φ = 7392.

The previous prime is 22193. The next prime is 22229. The reversal of 22212 is 21222.

It can be written as a sum of positive squares in only one way, i.e., 12996 + 9216 = 114^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 22194 and 22203.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 273 + ... + 344.

222212 is an apocalyptic number.

It is an amenable number.

22212 is an abundant number, since it is smaller than the sum of its proper divisors (34026).

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

22212 is a wasteful number, since it uses less digits than its factorization.

22212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 622 counting only the distinct ones).

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

The square root of 22212 is about 149.0369081805. The cubic root of 22212 is about 28.1101106375.

Adding to 22212 its reverse (21222), we get a palindrome (43434).

Subtracting from 22212 its reverse (21222), we obtain a triangular number (990 = T44).

It can be divided in two parts, 22 and 212, that multiplied together give a palindrome (4664).

The spelling of 22212 in words is "twenty-two thousand, two hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 18 36 617 1234 1851 2468 3702 5553 7404 11106 22212