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229216 = 25131929
BaseRepresentation
bin110111111101100000
3102122102111
4313331200
524313331
64525104
71643161
oct677540
9378374
10229216
11147239
12b0794
1380440
145d768
1547db1
hex37f60

229216 has 48 divisors (see below), whose sum is σ = 529200. Its totient is φ = 96768.

The previous prime is 229213. The next prime is 229217. The reversal of 229216 is 612922.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7890 + ... + 7918.

It is an arithmetic number, because the mean of its divisors is an integer number (11025).

2229216 is an apocalyptic number.

229216 is a gapful number since it is divisible by the number (26) 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 229216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264600).

229216 is an abundant number, since it is smaller than the sum of its proper divisors (299984).

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

229216 is a wasteful number, since it uses less digits than its factorization.

229216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 63 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 229216 is about 478.7650780915. The cubic root of 229216 is about 61.1995614191.

The spelling of 229216 in words is "two hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 19 26 29 32 38 52 58 76 104 116 152 208 232 247 304 377 416 464 494 551 608 754 928 988 1102 1508 1976 2204 3016 3952 4408 6032 7163 7904 8816 12064 14326 17632 28652 57304 114608 229216