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229024 = 2517421
BaseRepresentation
bin110111111010100000
3102122011101
4313322200
524312044
64524144
71642465
oct677240
9378141
10229024
11147084
12b0654
1380323
145d66c
1547cd4
hex37ea0

229024 has 24 divisors (see below), whose sum is σ = 478548. Its totient is φ = 107520.

The previous prime is 229003. The next prime is 229027. The reversal of 229024 is 420922.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 219024 + 10000 = 468^2 + 100^2 .

It is a junction number, because it is equal to n+sod(n) for n = 228992 and 229010.

It is not an unprimeable number, because it can be changed into a prime (229027) by changing a digit.

229024 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 3 ways as a sum of consecutive naturals, for example, 334 + ... + 754.

2229024 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 229024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239274).

229024 is an abundant number, since it is smaller than the sum of its proper divisors (249524).

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

229024 is a wasteful number, since it uses less digits than its factorization.

229024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 229024 is about 478.5645202060. The cubic root of 229024 is about 61.1824689559.

Adding to 229024 its reverse (420922), we get a palindrome (649946).

The spelling of 229024 in words is "two hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 421 544 842 1684 3368 6736 7157 13472 14314 28628 57256 114512 229024