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6312228 = 2231343941
BaseRepresentation
bin11000000101000100100100
3102212200202020
4120011010210
53103442403
6343143140
7104436666
oct30050444
912780666
106312228
11362151a
122144ab0
131400160
14ba4536
1584a453
hex605124

6312228 has 48 divisors (see below), whose sum is σ = 16247616. Its totient is φ = 1895040.

The previous prime is 6312221. The next prime is 6312259. The reversal of 6312228 is 8222136.

It is a junction number, because it is equal to n+sod(n) for n = 6312198 and 6312207.

It is not an unprimeable number, because it can be changed into a prime (6312221) 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 15 ways as a sum of consecutive naturals, for example, 6238 + ... + 7178.

It is an arithmetic number, because the mean of its divisors is an integer number (338492).

Almost surely, 26312228 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 6312228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8123808).

6312228 is an abundant number, since it is smaller than the sum of its proper divisors (9935388).

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

6312228 is a wasteful number, since it uses less digits than its factorization.

6312228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 1002 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 6312228 is about 2512.4147746740. The cubic root of 6312228 is about 184.8108902711.

The spelling of 6312228 in words is "six million, three hundred twelve thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 941 1118 1677 1882 2236 2823 3354 3764 5646 6708 11292 12233 24466 36699 40463 48932 73398 80926 121389 146796 161852 242778 485556 526019 1052038 1578057 2104076 3156114 6312228