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229944 = 233111367
BaseRepresentation
bin111000001000111000
3102200102110
4320020320
524324234
64532320
71645251
oct701070
9380373
10229944
11147840
12b10a0
1380880
145db28
15481e9
hex38238

229944 has 64 divisors (see below), whose sum is σ = 685440. Its totient is φ = 63360.

The previous prime is 229939. The next prime is 229949. The reversal of 229944 is 449922.

It is an interprime number because it is at equal distance from previous prime (229939) and next prime (229949).

Its product of digits (5184) is a multiple of the sum of its prime divisors (96).

It is a zygodrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 229944.

It is not an unprimeable number, because it can be changed into a prime (229949) by changing a digit.

229944 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3399 + ... + 3465.

It is an arithmetic number, because the mean of its divisors is an integer number (10710).

2229944 is an apocalyptic number.

229944 is a gapful number since it is divisible by the number (24) 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 229944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342720).

229944 is an abundant number, since it is smaller than the sum of its proper divisors (455496).

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

229944 is a wasteful number, since it uses less digits than its factorization.

229944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 96 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 229944 is about 479.5247647411. The cubic root of 229944 is about 61.2642837713.

The spelling of 229944 in words is "two hundred twenty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 67 78 88 104 132 134 143 156 201 264 268 286 312 402 429 536 572 737 804 858 871 1144 1474 1608 1716 1742 2211 2613 2948 3432 3484 4422 5226 5896 6968 8844 9581 10452 17688 19162 20904 28743 38324 57486 76648 114972 229944