Search a number
-
+
2823168 = 2103919
BaseRepresentation
bin1010110001010000000000
312022102122210
422301100000
51210320133
6140302120
732665545
oct12612000
95272583
102823168
1116590a7
12b41940
1377b01a
14536bcc
153ab763
hex2b1400

2823168 has 44 divisors (see below), whose sum is σ = 7532960. Its totient is φ = 940032.

The previous prime is 2823167. The next prime is 2823193. The reversal of 2823168 is 8613282.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2823167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2613 + ... + 3531.

22823168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2823168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766480).

2823168 is an abundant number, since it is smaller than the sum of its proper divisors (4709792).

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

2823168 is an equidigital number, since it uses as much as digits as its factorization.

2823168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 924 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2823168 is about 1680.2285558816. The cubic root of 2823168 is about 141.3336497758. Note that the first 3 decimals are identical.

The spelling of 2823168 in words is "two million, eight hundred twenty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 919 1024 1536 1838 2757 3072 3676 5514 7352 11028 14704 22056 29408 44112 58816 88224 117632 176448 235264 352896 470528 705792 941056 1411584 2823168