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229500 = 22335317
BaseRepresentation
bin111000000001111100
3102122211000
4320001330
524321000
64530300
71644045
oct700174
9378730
10229500
11147477
12b0990
13805cb
145d8cc
1548000
hex3807c

229500 has 96 divisors (see below), whose sum is σ = 786240. Its totient is φ = 57600.

The previous prime is 229499. The next prime is 229507. The reversal of 229500 is 5922.

229500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13492 + ... + 13508.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2229500 is an apocalyptic number.

229500 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 229500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

229500 is an abundant number, since it is smaller than the sum of its proper divisors (556740).

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

229500 is a wasteful number, since it uses less digits than its factorization.

229500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 229500 is about 479.0615826801. The cubic root of 229500 is about 61.2248265288.

229500 divided by its product of nonzero digits (180) gives a triangular number (1275 = T50).

It can be divided in two parts, 229 and 500, that added together give a 6-th power (729 = 36).

The spelling of 229500 in words is "two hundred twenty-nine thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 125 135 150 153 170 180 204 225 250 255 270 300 306 340 375 425 450 459 500 510 540 612 675 750 765 850 900 918 1020 1125 1275 1350 1500 1530 1700 1836 2125 2250 2295 2550 2700 3060 3375 3825 4250 4500 4590 5100 6375 6750 7650 8500 9180 11475 12750 13500 15300 19125 22950 25500 38250 45900 57375 76500 114750 229500