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229284 = 223311193
BaseRepresentation
bin110111111110100100
3102122112000
4313332210
524314114
64525300
71643316
oct677644
9378460
10229284
111472a0
12b0830
1380493
145d7b6
1547e09
hex37fa4

229284 has 48 divisors (see below), whose sum is σ = 651840. Its totient is φ = 69120.

The previous prime is 229283. The next prime is 229309. The reversal of 229284 is 482922.

229284 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (229283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092 + ... + 1284.

It is an arithmetic number, because the mean of its divisors is an integer number (13580).

2229284 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 229284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325920).

229284 is an abundant number, since it is smaller than the sum of its proper divisors (422556).

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

229284 is a wasteful number, since it uses less digits than its factorization.

229284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 229284 is about 478.8360888655. The cubic root of 229284 is about 61.2056127109.

The spelling of 229284 in words is "two hundred twenty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 193 198 297 386 396 579 594 772 1158 1188 1737 2123 2316 3474 4246 5211 6369 6948 8492 10422 12738 19107 20844 25476 38214 57321 76428 114642 229284