Search a number
-
+
229504 = 2711163
BaseRepresentation
bin111000000010000000
3102122211011
4320002000
524321004
64530304
71644052
oct700200
9378734
10229504
11147480
12b0994
1380602
145d8d2
1548004
hex38080

229504 has 32 divisors (see below), whose sum is σ = 501840. Its totient is φ = 103680.

The previous prime is 229499. The next prime is 229507. The reversal of 229504 is 405922.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a pancake number, because a pancake can be divided into 229504 parts by 677 straight cuts.

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 3 ways as a sum of consecutive naturals, for example, 1327 + ... + 1489.

2229504 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 229504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250920).

229504 is an abundant number, since it is smaller than the sum of its proper divisors (272336).

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

229504 is a wasteful number, since it uses less digits than its factorization.

229504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 229504 is about 479.0657574906. The cubic root of 229504 is about 61.2251822265.

The spelling of 229504 in words is "two hundred twenty-nine thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 163 176 326 352 652 704 1304 1408 1793 2608 3586 5216 7172 10432 14344 20864 28688 57376 114752 229504