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229248 = 2732199
BaseRepresentation
bin110111111110000000
3102122110200
4313332000
524313443
64525200
71643235
oct677600
9378420
10229248
11147268
12b0800
1380466
145d78c
1547dd3
hex37f80

229248 has 48 divisors (see below), whose sum is σ = 663000. Its totient is φ = 76032.

The previous prime is 229247. The next prime is 229249. The reversal of 229248 is 842922.

229248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (229247) and next prime (229249).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1053 + ... + 1251.

2229248 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 229248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331500).

229248 is an abundant number, since it is smaller than the sum of its proper divisors (433752).

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

229248 is a wasteful number, since it uses less digits than its factorization.

229248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 229248 is about 478.7984962382. The cubic root of 229248 is about 61.2024092349.

The spelling of 229248 in words is "two hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 199 288 384 398 576 597 796 1152 1194 1592 1791 2388 3184 3582 4776 6368 7164 9552 12736 14328 19104 25472 28656 38208 57312 76416 114624 229248