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229104 = 24323743
BaseRepresentation
bin110111111011110000
3102122021100
4313323300
524312404
64524400
71642641
oct677360
9378240
10229104
11147147
12b0700
1380385
145d6c8
1547d39
hex37ef0

229104 has 60 divisors (see below), whose sum is σ = 673816. Its totient is φ = 72576.

The previous prime is 229093. The next prime is 229123. The reversal of 229104 is 401922.

229104 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 (18).

It is a congruent number.

It is an unprimeable number.

229104 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 11 ways as a sum of consecutive naturals, for example, 5307 + ... + 5349.

2229104 is an apocalyptic number.

229104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336908).

229104 is an abundant number, since it is smaller than the sum of its proper divisors (444712).

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

229104 is a wasteful number, since it uses less digits than its factorization.

229104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 229104 is about 478.6480962043. The cubic root of 229104 is about 61.1895919760.

It can be divided in two parts, 229 and 104, that added together give a palindrome (333).

The spelling of 229104 in words is "two hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 43 48 72 74 86 111 129 144 148 172 222 258 296 333 344 387 444 516 592 666 688 774 888 1032 1332 1548 1591 1776 2064 2664 3096 3182 4773 5328 6192 6364 9546 12728 14319 19092 25456 28638 38184 57276 76368 114552 229104