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229888 = 29449
BaseRepresentation
bin111000001000000000
3102200100101
4320020000
524324023
64532144
71645141
oct701000
9380311
10229888
1114779a
12b1054
1380839
145dac8
15481ad
hex38200

229888 has 20 divisors (see below), whose sum is σ = 460350. Its totient is φ = 114688.

The previous prime is 229849. The next prime is 229897. The reversal of 229888 is 888922.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 43264 = 432^2 + 208^2 .

It is an Ulam number.

It is a plaindrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 288 + ... + 736.

229888 is a Friedman number, since it can be written as 898*(8*2)^2, using all its digits and the basic arithmetic operations.

2229888 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 229888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230175).

229888 is an abundant number, since it is smaller than the sum of its proper divisors (230462).

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

229888 is an frugal number, since it uses more digits than its factorization.

229888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 451 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 229888 is about 479.4663700407. The cubic root of 229888 is about 61.2593099828.

It can be divided in two parts, 2 and 29888, that added together give a triangular number (29890 = T244).

The spelling of 229888 in words is "two hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 449 512 898 1796 3592 7184 14368 28736 57472 114944 229888