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230293217 = 7113780833
BaseRepresentation
bin11011011100111…
…11111011100001
3121001100002220102
431232133323201
5432423340332
634503552145
75464313540
oct1556377341
9531302812
10230293217
11108aa3780
126515b655
133893289b
142282a157
1515340062
hexdb9fee1

230293217 has 16 divisors (see below), whose sum is σ = 294882432. Its totient is φ = 174597120.

The previous prime is 230293201. The next prime is 230293223. The reversal of 230293217 is 712392032.

It is a cyclic number.

It is not a de Polignac number, because 230293217 - 24 = 230293201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 230293217.

It is not an unprimeable number, because it can be changed into a prime (230293247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37568 + ... + 43265.

It is an arithmetic number, because the mean of its divisors is an integer number (18430152).

Almost surely, 2230293217 is an apocalyptic number.

It is an amenable number.

230293217 is a deficient number, since it is larger than the sum of its proper divisors (64589215).

230293217 is a wasteful number, since it uses less digits than its factorization.

230293217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80888.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 230293217 is about 15175.4148872444. The cubic root of 230293217 is about 612.9528219970.

The spelling of 230293217 in words is "two hundred thirty million, two hundred ninety-three thousand, two hundred seventeen".

Divisors: 1 7 11 37 77 259 407 2849 80833 565831 889163 2990821 6224141 20935747 32899031 230293217