Search a number
-
+
228357 = 3225373
BaseRepresentation
bin110111110000000101
3102121020200
4313300011
524301412
64521113
71640523
oct676005
9377220
10228357
11146628
12b0199
137cc2c
145d313
15479dc
hex37c05

228357 has 6 divisors (see below), whose sum is σ = 329862. Its totient is φ = 152232.

The previous prime is 228353. The next prime is 228359. The reversal of 228357 is 753822.

228357 is digitally balanced in base 2 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 125316 + 103041 = 354^2 + 321^2 .

It is not a de Polignac number, because 228357 - 22 = 228353 is a prime.

228357 is strictly pandigital in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 228357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228353) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12678 + ... + 12695.

It is an arithmetic number, because the mean of its divisors is an integer number (54977).

2228357 is an apocalyptic number.

It is an amenable number.

228357 is a deficient number, since it is larger than the sum of its proper divisors (101505).

228357 is a wasteful number, since it uses less digits than its factorization.

228357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25379 (or 25376 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 228357 is about 477.8671363465. The cubic root of 228357 is about 61.1230161073.

It can be divided in two parts, 228 and 357, that added together give a palindrome (585).

The spelling of 228357 in words is "two hundred twenty-eight thousand, three hundred fifty-seven".

Divisors: 1 3 9 25373 76119 228357