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230082363 = 357235881
BaseRepresentation
bin11011011011011…
…00011100111011
3121000221101200000
431231230130323
5432400113423
634455244043
75462445030
oct1555543473
9530841600
10230082363
1110896a315
1265079623
133888a914
14227b3387
15152ec843
hexdb6c73b

230082363 has 48 divisors (see below), whose sum is σ = 411081216. Its totient is φ = 125737920.

The previous prime is 230082361. The next prime is 230082371. The reversal of 230082363 is 363280032.

It is not a de Polignac number, because 230082363 - 21 = 230082361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (230082361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36183 + ... + 42063.

It is an arithmetic number, because the mean of its divisors is an integer number (8564192).

Almost surely, 2230082363 is an apocalyptic number.

230082363 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

230082363 is a deficient number, since it is larger than the sum of its proper divisors (180998853).

230082363 is an equidigital number, since it uses as much as digits as its factorization.

230082363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 230082363 is about 15168.4660727445. The cubic root of 230082363 is about 612.7656938642.

The spelling of 230082363 in words is "two hundred thirty million, eighty-two thousand, three hundred sixty-three".

Divisors: 1 3 7 9 21 23 27 63 69 81 161 189 207 243 483 567 621 1449 1701 1863 4347 5589 5881 13041 17643 39123 41167 52929 123501 135263 158787 370503 405789 476361 946841 1111509 1217367 1429083 2840523 3334527 3652101 8521569 10003581 10956303 25564707 32868909 76694121 230082363