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230000253 = 37233115361
BaseRepresentation
bin11011011010110…
…00011001111101
3121000210020000220
431231120121331
5432340002003
634453411553
75461653450
oct1555303175
9530706026
10230000253
1110891365a
1265039bb9
133885c432
1422791497
15152d3353
hexdb5867d

230000253 has 32 divisors (see below), whose sum is σ = 377536512. Its totient is φ = 121651200.

The previous prime is 230000219. The next prime is 230000257. The reversal of 230000253 is 352000032.

It is not a de Polignac number, because 230000253 - 29 = 229999741 is a prime.

230000253 is a modest number, since divided by 253 gives 230 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230000257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7293 + ... + 22653.

It is an arithmetic number, because the mean of its divisors is an integer number (11798016).

Almost surely, 2230000253 is an apocalyptic number.

230000253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

230000253 is a deficient number, since it is larger than the sum of its proper divisors (147536259).

230000253 is a wasteful number, since it uses less digits than its factorization.

230000253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15425.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 230000253 is about 15165.7592292638. The cubic root of 230000253 is about 612.6927921767.

Adding to 230000253 its reverse (352000032), we get a palindrome (582000285).

The spelling of 230000253 in words is "two hundred thirty million, two hundred fifty-three", and thus it is an aban number.

Divisors: 1 3 7 21 23 31 69 93 161 217 483 651 713 2139 4991 14973 15361 46083 107527 322581 353303 476191 1059909 1428573 2473121 3333337 7419363 10000011 10952393 32857179 76666751 230000253