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218368 = 28853
BaseRepresentation
bin110101010100000000
3102002112201
4311110000
523441433
64402544
71566433
oct652400
9362481
10218368
1113a077
12a6454
1378517
145981a
1544a7d
hex35500

218368 has 18 divisors (see below), whose sum is σ = 436394. Its totient is φ = 109056.

The previous prime is 218363. The next prime is 218371. The reversal of 218368 is 863812.

218368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 135424 + 82944 = 368^2 + 288^2 .

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 171 + ... + 682.

2218368 is an apocalyptic number.

It is an amenable number.

218368 is a deficient number, since it is larger than the sum of its proper divisors (218026).

218368 is an frugal number, since it uses more digits than its factorization.

218368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 855 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 218368 is about 467.2986197283. The cubic root of 218368 is about 60.2184628602.

The spelling of 218368 in words is "two hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 853 1706 3412 6824 13648 27296 54592 109184 218368