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230218272 = 2532799369
BaseRepresentation
bin11011011100011…
…01101000100000
3121001012022002200
431232031220200
5432413441042
634502213200
75463552204
oct1556155040
9531168080
10230218272
11108a52439
1265124200
133890773b
142280ab04
1515327c4c
hexdb8da20

230218272 has 36 divisors (see below), whose sum is σ = 654684030. Its totient is φ = 76739328.

The previous prime is 230218271. The next prime is 230218279. The reversal of 230218272 is 272812032.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 213276816 + 16941456 = 14604^2 + 4116^2 .

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

It is not an unprimeable number, because it can be changed into a prime (230218271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 399397 + ... + 399972.

Almost surely, 2230218272 is an apocalyptic number.

It is an amenable number.

230218272 is an abundant number, since it is smaller than the sum of its proper divisors (424465758).

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

230218272 is a wasteful number, since it uses less digits than its factorization.

230218272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799385 (or 799374 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 230218272 is about 15172.9453963296. The cubic root of 230218272 is about 612.8863231020.

The spelling of 230218272 in words is "two hundred thirty million, two hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 799369 1598738 2398107 3197476 4796214 6394952 7194321 9592428 12789904 14388642 19184856 25579808 28777284 38369712 57554568 76739424 115109136 230218272