Search a number
-
+
2222442 = 232374771
BaseRepresentation
bin1000011110100101101010
311011220121200
420132211222
51032104232
6115345030
724614265
oct10364552
94156550
102222442
111288832
128b2176
135ca771
1441bcdc
152dd77c
hex21e96a

2222442 has 48 divisors (see below), whose sum is σ = 5121792. Its totient is φ = 695520.

The previous prime is 2222387. The next prime is 2222443. The reversal of 2222442 is 2442222.

2222442 is a `hidden beast` number, since 2 + 222 + 442 = 666.

2222442 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 (18).

2222442 is a modest number, since divided by 2442 gives 222 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2222443) 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 23 ways as a sum of consecutive naturals, for example, 31267 + ... + 31337.

It is an arithmetic number, because the mean of its divisors is an integer number (106704).

22222442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560896).

2222442 is an abundant number, since it is smaller than the sum of its proper divisors (2899350).

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

2222442 is a wasteful number, since it uses less digits than its factorization.

2222442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 160 counting only the distinct ones).

The product of its digits is 512, while the sum is 18.

The square root of 2222442 is about 1490.7856988850. The cubic root of 2222442 is about 130.4998899017.

Adding to 2222442 its reverse (2442222), we get a palindrome (4664664).

The spelling of 2222442 in words is "two million, two hundred twenty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 37 47 71 74 94 111 141 142 213 222 282 333 423 426 639 666 846 1278 1739 2627 3337 3478 5217 5254 6674 7881 10011 10434 15651 15762 20022 23643 30033 31302 47286 60066 123469 246938 370407 740814 1111221 2222442