Search a number
-
+
2182212 = 223260617
BaseRepresentation
bin1000010100110001000100
311002212102200
420110301010
51024312322
6114434500
724356064
oct10246104
94085380
102182212
11126058a
12892a30
135b5366
1440b3a4
152d18ac
hex214c44

2182212 has 18 divisors (see below), whose sum is σ = 5516238. Its totient is φ = 727392.

The previous prime is 2182211. The next prime is 2182249. The reversal of 2182212 is 2122812.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1382976 + 799236 = 1176^2 + 894^2 .

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 (18).

It is not an unprimeable number, because it can be changed into a prime (2182211) 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 5 ways as a sum of consecutive naturals, for example, 30273 + ... + 30344.

22182212 is an apocalyptic number.

It is an amenable number.

2182212 is an abundant number, since it is smaller than the sum of its proper divisors (3334026).

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

2182212 is a wasteful number, since it uses less digits than its factorization.

2182212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60627 (or 60622 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 2182212 is about 1477.2311938217. The cubic root of 2182212 is about 129.7076665886.

The spelling of 2182212 in words is "two million, one hundred eighty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 60617 121234 181851 242468 363702 545553 727404 1091106 2182212