Search a number
-
+
228216 = 23337257
BaseRepresentation
bin110111101101111000
3102121001110
4313231320
524300331
64520320
71640232
oct675570
9377043
10228216
1114650a
12b00a0
137cb51
145d252
1547946
hex37b78

228216 has 32 divisors (see below), whose sum is σ = 588240. Its totient is φ = 73728.

The previous prime is 228211. The next prime is 228223. The reversal of 228216 is 612822.

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

It is a junction number, because it is equal to n+sod(n) for n = 228192 and 228201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228211) by changing a digit.

228216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 760 + ... + 1016.

2228216 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 228216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294120).

228216 is an abundant number, since it is smaller than the sum of its proper divisors (360024).

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

228216 is a wasteful number, since it uses less digits than its factorization.

228216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 299 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 228216 is about 477.7195830192. The cubic root of 228216 is about 61.1104332952.

It can be divided in two parts, 228 and 216, that added together give a palindrome (444).

The spelling of 228216 in words is "two hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 257 296 444 514 771 888 1028 1542 2056 3084 6168 9509 19018 28527 38036 57054 76072 114108 228216