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230040993 = 37131137457
BaseRepresentation
bin11011011011000…
…10010110100001
3121000212021220210
431231202112201
5432342302433
634454324333
75462213310
oct1555422641
9530767823
10230040993
11108941226
12650596a9
1338874b40
14227a2277
15152e0463
hexdb625a1

230040993 has 32 divisors (see below), whose sum is σ = 380894976. Its totient is φ = 120250368.

The previous prime is 230040989. The next prime is 230041003. The reversal of 230040993 is 399040032.

230040993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230040993 - 22 = 230040989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 230040993.

It is not an unprimeable number, because it can be changed into a prime (230040913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27121 + ... + 34577.

It is an arithmetic number, because the mean of its divisors is an integer number (11902968).

Almost surely, 2230040993 is an apocalyptic number.

It is an amenable number.

230040993 is a deficient number, since it is larger than the sum of its proper divisors (150853983).

230040993 is a wasteful number, since it uses less digits than its factorization.

230040993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7593.

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 230040993 is about 15167.1023270762. The cubic root of 230040993 is about 612.7289655147.

The spelling of 230040993 in words is "two hundred thirty million, forty thousand, nine hundred ninety-three".

Divisors: 1 3 7 13 21 39 91 113 273 339 791 1469 2373 4407 7457 10283 22371 30849 52199 96941 156597 290823 678587 842641 2035761 2527923 5898487 10954333 17695461 32862999 76680331 230040993