Search a number
-
+
1842228 = 223273701
BaseRepresentation
bin111000001110000110100
310110121001200
413001300310
5432422403
6103252500
721441633
oct7016064
93417050
101842228
111049103
1274a130
134c669b
1435d51a
15265ca3
hex1c1c34

1842228 has 36 divisors (see below), whose sum is σ = 4727268. Its totient is φ = 604800.

The previous prime is 1842199. The next prime is 1842229. The reversal of 1842228 is 8222481.

It can be written as a sum of positive squares in 2 ways, for example, as 1340964 + 501264 = 1158^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1842229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2278 + ... + 2978.

It is an arithmetic number, because the mean of its divisors is an integer number (131313).

21842228 is an apocalyptic number.

1842228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1842228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363634).

1842228 is an abundant number, since it is smaller than the sum of its proper divisors (2885040).

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

1842228 is a wasteful number, since it uses less digits than its factorization.

1842228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 779 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 1842228 is about 1357.2869998641. The cubic root of 1842228 is about 122.5879529406.

The spelling of 1842228 in words is "one million, eight hundred forty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 701 876 1314 1402 2103 2628 2804 4206 6309 8412 12618 25236 51173 102346 153519 204692 307038 460557 614076 921114 1842228