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2114442 = 2321159181
BaseRepresentation
bin1000000100001110001010
310222102110200
420010032022
51020130232
6113153030
723654361
oct10041612
93872420
102114442
111214680
1285b776
13590565
143d07d8
152bb77c
hex20438a

2114442 has 48 divisors (see below), whose sum is σ = 5110560. Its totient is φ = 626400.

The previous prime is 2114429. The next prime is 2114449. The reversal of 2114442 is 2444112.

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (256) is a multiple of the sum of its prime divisors (256).

It is not an unprimeable number, because it can be changed into a prime (2114449) 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 23 ways as a sum of consecutive naturals, for example, 11592 + ... + 11772.

It is an arithmetic number, because the mean of its divisors is an integer number (106470).

22114442 is an apocalyptic number.

2114442 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 2114442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555280).

2114442 is an abundant number, since it is smaller than the sum of its proper divisors (2996118).

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

2114442 is a wasteful number, since it uses less digits than its factorization.

2114442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 256 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 2114442 is about 1454.1121002179. The cubic root of 2114442 is about 128.3508036410.

Adding to 2114442 its reverse (2444112), we get a palindrome (4558554).

It can be divided in two parts, 2114 and 442, that added together give a triangular number (2556 = T71).

The spelling of 2114442 in words is "two million, one hundred fourteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 181 198 354 362 531 543 649 1062 1086 1298 1629 1947 1991 3258 3894 3982 5841 5973 10679 11682 11946 17919 21358 32037 35838 64074 96111 117469 192222 234938 352407 704814 1057221 2114442