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218268801 = 32205311813
BaseRepresentation
bin11010000001010…
…00010010000001
3120012201012111200
431000220102001
5421334100201
633354131413
75260153122
oct1500502201
9505635450
10218268801
11102230643
1261120b69
13362b274a
1420dba049
1514267386
hexd028481

218268801 has 12 divisors (see below), whose sum is σ = 315457428. Its totient is φ = 145429344.

The previous prime is 218268749. The next prime is 218268859. The reversal of 218268801 is 108862812.

It can be written as a sum of positive squares in 2 ways, for example, as 99022401 + 119246400 = 9951^2 + 10920^2 .

It is not a de Polignac number, because 218268801 - 227 = 84051073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (218268101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12571 + ... + 24383.

It is an arithmetic number, because the mean of its divisors is an integer number (26288119).

Almost surely, 2218268801 is an apocalyptic number.

It is an amenable number.

218268801 is a deficient number, since it is larger than the sum of its proper divisors (97188627).

218268801 is a wasteful number, since it uses less digits than its factorization.

218268801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13872 (or 13869 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 218268801 is about 14773.9230064327. The cubic root of 218268801 is about 602.0934290963.

The spelling of 218268801 in words is "two hundred eighteen million, two hundred sixty-eight thousand, eight hundred one".

Divisors: 1 3 9 2053 6159 11813 18477 35439 106317 24252089 72756267 218268801