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230065137 = 3347917789
BaseRepresentation
bin11011011011010…
…00001111110001
3121000220112001000
431231220033301
5432344041022
634455032213
75462343561
oct1555501761
9530815030
10230065137
11108958385
126506b669
1338882b23
14227aada1
15152e76ac
hexdb683f1

230065137 has 16 divisors (see below), whose sum is σ = 341568000. Its totient is φ = 153047952.

The previous prime is 230065123. The next prime is 230065153. The reversal of 230065137 is 731560032.

It is a happy number.

230065137 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 651 + 3 + 7 = 666.

It is not a de Polignac number, because 230065137 - 27 = 230065009 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230065137.

It is not an unprimeable number, because it can be changed into a prime (230065177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4039 + ... + 21827.

It is an arithmetic number, because the mean of its divisors is an integer number (21348000).

Almost surely, 2230065137 is an apocalyptic number.

230065137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

230065137 is a deficient number, since it is larger than the sum of its proper divisors (111502863).

230065137 is a wasteful number, since it uses less digits than its factorization.

230065137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18277 (or 18271 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 230065137 is about 15167.8982393738. The cubic root of 230065137 is about 612.7504011299.

The spelling of 230065137 in words is "two hundred thirty million, sixty-five thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 479 1437 4311 12933 17789 53367 160101 480303 8520931 25562793 76688379 230065137