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229120 = 285179
BaseRepresentation
bin110111111100000000
3102122021221
4313330000
524312440
64524424
71642663
oct677400
9378257
10229120
11147161
12b0714
1380398
145d6da
1547d4a
hex37f00

229120 has 36 divisors (see below), whose sum is σ = 551880. Its totient is φ = 91136.

The previous prime is 229093. The next prime is 229123. The reversal of 229120 is 21922.

It is a happy number.

229120 is digitally balanced in base 2, 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 229094 and 229103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229123) by changing a digit.

229120 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, 1191 + ... + 1369.

It is an arithmetic number, because the mean of its divisors is an integer number (15330).

2229120 is an apocalyptic number.

229120 is a gapful number since it is divisible by the number (20) 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 229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275940).

229120 is an abundant number, since it is smaller than the sum of its proper divisors (322760).

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

229120 is an equidigital number, since it uses as much as digits as its factorization.

229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 229120 is about 478.6648096529. The cubic root of 229120 is about 61.1910163811.

The spelling of 229120 in words is "two hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 179 256 320 358 640 716 895 1280 1432 1790 2864 3580 5728 7160 11456 14320 22912 28640 45824 57280 114560 229120