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230303133 = 32371813821
BaseRepresentation
bin11011011101000…
…10010110011101
3121001100121111200
431232202112131
5432424200013
634504110113
75464354464
oct1556422635
9531317450
10230303133
11109000175
1265165339
1338937258
142282d9db
1515342e73
hexdba259d

230303133 has 24 divisors (see below), whose sum is σ = 343628376. Its totient is φ = 148521600.

The previous prime is 230303113. The next prime is 230303173. The reversal of 230303133 is 331303032.

230303133 is a `hidden beast` number, since 230 + 303 + 133 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54952569 + 175350564 = 7413^2 + 13242^2 .

It is not a de Polignac number, because 230303133 - 213 = 230294941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230303113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58363 + ... + 62183.

It is an arithmetic number, because the mean of its divisors is an integer number (14317849).

Almost surely, 2230303133 is an apocalyptic number.

It is an amenable number.

230303133 is a deficient number, since it is larger than the sum of its proper divisors (113325243).

230303133 is a wasteful number, since it uses less digits than its factorization.

230303133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 230303133 is about 15175.7415963768. The cubic root of 230303133 is about 612.9616194090.

Adding to 230303133 its reverse (331303032), we get a palindrome (561606165).

The spelling of 230303133 in words is "two hundred thirty million, three hundred three thousand, one hundred thirty-three".

Divisors: 1 3 9 37 111 181 333 543 1629 3821 6697 11463 20091 34389 60273 141377 424131 691601 1272393 2074803 6224409 25589237 76767711 230303133