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228123 = 3371771
BaseRepresentation
bin110111101100011011
3102120221000
4313230123
524244443
64520043
71640040
oct675433
9376830
10228123
11146435
12b0023
137caac
145d1c7
15478d3
hex37b1b

228123 has 32 divisors (see below), whose sum is σ = 414720. Its totient is φ = 120960.

The previous prime is 228113. The next prime is 228127. The reversal of 228123 is 321822.

228123 = T42 + T43 + ... + T112.

It is a happy number.

It is not a de Polignac number, because 228123 - 29 = 227611 is a prime.

It is a super-3 number, since 3×2281233 = 35614633338290601, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 228096 and 228105.

It is not an unprimeable number, because it can be changed into a prime (228127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3178 + ... + 3248.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2228123 is an apocalyptic number.

228123 is a deficient number, since it is larger than the sum of its proper divisors (186597).

228123 is a wasteful number, since it uses less digits than its factorization.

228123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

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

The square root of 228123 is about 477.6222356633. The cubic root of 228123 is about 61.1021311568.

Adding to 228123 its reverse (321822), we get a palindrome (549945).

It can be divided in two parts, 2281 and 23, that added together give a square (2304 = 482).

The spelling of 228123 in words is "two hundred twenty-eight thousand, one hundred twenty-three".

Divisors: 1 3 7 9 17 21 27 51 63 71 119 153 189 213 357 459 497 639 1071 1207 1491 1917 3213 3621 4473 8449 10863 13419 25347 32589 76041 228123