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229160 = 23517337
BaseRepresentation
bin110111111100101000
3102122100102
4313330220
524313120
64524532
71643051
oct677450
9378312
10229160
11147198
12b0748
13803c9
145d728
1547d75
hex37f28

229160 has 32 divisors (see below), whose sum is σ = 547560. Its totient is φ = 86016.

The previous prime is 229157. The next prime is 229171. The reversal of 229160 is 61922.

229160 = 1082 + 1092 + ... + 1242.

229160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 188356 + 40804 = 434^2 + 202^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512 + ... + 848.

2229160 is an apocalyptic number.

229160 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 229160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273780).

229160 is an abundant number, since it is smaller than the sum of its proper divisors (318400).

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

229160 is a wasteful number, since it uses less digits than its factorization.

229160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 229160 is about 478.7065907213. The cubic root of 229160 is about 61.1945771036.

The spelling of 229160 in words is "two hundred twenty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 337 340 674 680 1348 1685 2696 3370 5729 6740 11458 13480 22916 28645 45832 57290 114580 229160