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206244 = 223217337
BaseRepresentation
bin110010010110100100
3101110220200
4302112210
523044434
64230500
71516203
oct622644
9343820
10206244
11130a55
129b430
1372b4c
145523a
1541199
hex325a4

206244 has 36 divisors (see below), whose sum is σ = 553644. Its totient is φ = 64512.

The previous prime is 206237. The next prime is 206249. The reversal of 206244 is 442602.

206244 = T59 + T60 + ... + T112.

It can be written as a sum of positive squares in 2 ways, for example, as 108900 + 97344 = 330^2 + 312^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (206249) by changing a digit.

206244 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444 + ... + 780.

It is an arithmetic number, because the mean of its divisors is an integer number (15379).

2206244 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 206244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276822).

206244 is an abundant number, since it is smaller than the sum of its proper divisors (347400).

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

206244 is a wasteful number, since it uses less digits than its factorization.

206244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 206244 is about 454.1409472840. The cubic root of 206244 is about 59.0827145890.

Adding to 206244 its reverse (442602), we get a palindrome (648846).

The spelling of 206244 in words is "two hundred six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 337 612 674 1011 1348 2022 3033 4044 5729 6066 11458 12132 17187 22916 34374 51561 68748 103122 206244