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312228 = 22337259
BaseRepresentation
bin1001100001110100100
3120212022000
41030032210
534442403
610405300
72440200
oct1141644
9525260
10312228
111a3644
12130830
13ac167
1481b00
15627a3
hex4c3a4

312228 has 72 divisors (see below), whose sum is σ = 957600. Its totient is φ = 87696.

The previous prime is 312217. The next prime is 312229. The reversal of 312228 is 822213.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 312228.

It is not an unprimeable number, because it can be changed into a prime (312229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5263 + ... + 5321.

It is an arithmetic number, because the mean of its divisors is an integer number (13300).

2312228 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 312228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478800).

312228 is an abundant number, since it is smaller than the sum of its proper divisors (645372).

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

312228 is a wasteful number, since it uses less digits than its factorization.

312228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 312228 is about 558.7736572173. The cubic root of 312228 is about 67.8407461240.

The spelling of 312228 in words is "three hundred twelve thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 59 63 84 98 108 118 126 147 177 189 196 236 252 294 354 378 413 441 531 588 708 756 826 882 1062 1239 1323 1593 1652 1764 2124 2478 2646 2891 3186 3717 4956 5292 5782 6372 7434 8673 11151 11564 14868 17346 22302 26019 34692 44604 52038 78057 104076 156114 312228