Search a number
-
+
2443122 = 23511457
BaseRepresentation
bin1001010100011101110010
311121010100000
421110131302
51111134442
6124210430
726523543
oct11243562
94533300
102443122
111419610
12999a16
13677046
144784ca
15333d4c
hex254772

2443122 has 48 divisors (see below), whose sum is σ = 6001632. Its totient is φ = 738720.

The previous prime is 2443117. The next prime is 2443151. The reversal of 2443122 is 2213442.

2443122 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).

It is a junction number, because it is equal to n+sod(n) for n = 2443095 and 2443104.

It is an unprimeable number.

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, 5118 + ... + 5574.

It is an arithmetic number, because the mean of its divisors is an integer number (125034).

22443122 is an apocalyptic number.

2443122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2443122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000816).

2443122 is an abundant number, since it is smaller than the sum of its proper divisors (3558510).

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

2443122 is a wasteful number, since it uses less digits than its factorization.

2443122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2443122 is about 1563.0489435715. The cubic root of 2443122 is about 134.6837039626.

Adding to 2443122 its reverse (2213442), we get a palindrome (4656564).

The spelling of 2443122 in words is "two million, four hundred forty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 457 486 594 891 914 1371 1782 2673 2742 4113 5027 5346 8226 10054 12339 15081 24678 30162 37017 45243 74034 90486 111051 135729 222102 271458 407187 814374 1221561 2443122