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229460 = 225711149
BaseRepresentation
bin111000000001010100
3102122202112
4320001110
524320320
64530152
71643660
oct700124
9378675
10229460
11147440
12b0958
138059a
145d8a0
1547ec5
hex38054

229460 has 48 divisors (see below), whose sum is σ = 604800. Its totient is φ = 71040.

The previous prime is 229459. The next prime is 229469. The reversal of 229460 is 64922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1466 + ... + 1614.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2229460 is an apocalyptic number.

229460 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 229460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

229460 is an abundant number, since it is smaller than the sum of its proper divisors (375340).

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

229460 is a wasteful number, since it uses less digits than its factorization.

229460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 229460 is about 479.0198325748. The cubic root of 229460 is about 61.2212693242.

The spelling of 229460 in words is "two hundred twenty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 149 154 220 298 308 385 596 745 770 1043 1490 1540 1639 2086 2980 3278 4172 5215 6556 8195 10430 11473 16390 20860 22946 32780 45892 57365 114730 229460