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2182122 = 232121229
BaseRepresentation
bin1000010100101111101010
311002212022100
420110233222
51024311442
6114434230
724355605
oct10245752
94085270
102182122
111260508
12892976
135b52c7
1440b33c
152d184c
hex214bea

2182122 has 12 divisors (see below), whose sum is σ = 4727970. Its totient is φ = 727368.

The previous prime is 2182109. The next prime is 2182129. The reversal of 2182122 is 2212812.

It is a happy number.

2182122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1846881 + 335241 = 1359^2 + 579^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 121229 = 2182122 / (2 + 1 + 8 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 2182095 and 2182104.

It is not an unprimeable number, because it can be changed into a prime (2182129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60597 + ... + 60632.

22182122 is an apocalyptic number.

2182122 is an abundant number, since it is smaller than the sum of its proper divisors (2545848).

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

2182122 is a wasteful number, since it uses less digits than its factorization.

2182122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121237 (or 121234 counting only the distinct ones).

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

The square root of 2182122 is about 1477.2007311127. The cubic root of 2182122 is about 129.7058834055.

Adding to 2182122 its reverse (2212812), we get a palindrome (4394934).

It can be divided in two parts, 2182 and 122, that added together give a square (2304 = 482).

The spelling of 2182122 in words is "two million, one hundred eighty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 121229 242458 363687 727374 1091061 2182122