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229376 = 2157
BaseRepresentation
bin111000000000000000
3102122122102
4320000000
524320001
64525532
71643510
oct700000
9378572
10229376
11147374
12b08a8
1380534
145d840
1547e6b
hex38000

229376 has 32 divisors (see below), whose sum is σ = 524280. Its totient is φ = 98304.

The previous prime is 229373. The next prime is 229393. The reversal of 229376 is 673922.

Multipling 229376 by its product of digits (4536), we get a square (1040449536 = 322562).

It is a tau number, because it is divible by the number of its divisors (32).

It is an ABA number since it can be written as A⋅BA, here for A=14, B=2.

It is a super-2 number, since 2×2293762 = 105226698752, which contains 22 as substring.

Its product of digits (4536) is a multiple of the sum of its prime divisors (9).

It is a nialpdrome in base 2, base 4 and base 8.

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 (229373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32765 + ... + 32771.

229376 is a Friedman number, since it can be written as 7*(3-2/2)^(9+6), using all its digits and the basic arithmetic operations.

2229376 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 229376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262140).

229376 is an abundant number, since it is smaller than the sum of its proper divisors (294904).

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

229376 is an frugal number, since it uses more digits than its factorization.

229376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 9 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 229376 is about 478.9321455071. The cubic root of 229376 is about 61.2137978487.

The spelling of 229376 in words is "two hundred twenty-nine thousand, three hundred seventy-six".