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228573 = 32109233
BaseRepresentation
bin110111110011011101
3102121112200
4313303131
524303243
64522113
71641252
oct676335
9377480
10228573
11146804
12b0339
1380067
145d429
1547ad3
hex37cdd

228573 has 12 divisors (see below), whose sum is σ = 334620. Its totient is φ = 150336.

The previous prime is 228559. The next prime is 228577. The reversal of 228573 is 375822.

It can be written as a sum of positive squares in 2 ways, for example, as 101124 + 127449 = 318^2 + 357^2 .

It is not a de Polignac number, because 228573 - 26 = 228509 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 211 + 217 + 57 + 83 + 75 + 32 .

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 865 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (27885).

2228573 is an apocalyptic number.

It is an amenable number.

228573 is a deficient number, since it is larger than the sum of its proper divisors (106047).

228573 is a wasteful number, since it uses less digits than its factorization.

228573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 345 counting only the distinct ones).

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

The square root of 228573 is about 478.0930871703. The cubic root of 228573 is about 61.1422818637.

The spelling of 228573 in words is "two hundred twenty-eight thousand, five hundred seventy-three".

Divisors: 1 3 9 109 233 327 699 981 2097 25397 76191 228573