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230880077 = 1721922213
BaseRepresentation
bin11011100001011…
…11001101001101
3121002102220220222
431300233031031
5433101130302
634524321125
75502306521
oct1560571515
9532386828
10230880077
1110936468a
12653a31a5
1338aa9a3c
142293dd81
1515408da2
hexdc2f34d

230880077 has 18 divisors (see below), whose sum is σ = 258964938. Its totient is φ = 205769088.

The previous prime is 230880071. The next prime is 230880101. The reversal of 230880077 is 770088032.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 171374281 + 59505796 = 13091^2 + 7714^2 .

It is not a de Polignac number, because 230880077 - 222 = 226685773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230880071) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103223 + ... + 105435.

It is an arithmetic number, because the mean of its divisors is an integer number (14386941).

Almost surely, 2230880077 is an apocalyptic number.

It is an amenable number.

230880077 is a deficient number, since it is larger than the sum of its proper divisors (28084861).

230880077 is a wasteful number, since it uses less digits than its factorization.

230880077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 230880077 is about 15194.7384643501. The cubic root of 230880077 is about 613.4730462740.

The spelling of 230880077 in words is "two hundred thirty million, eight hundred eighty thousand, seventy-seven".

Divisors: 1 17 19 289 323 361 2213 5491 6137 37621 42047 104329 639557 714799 798893 12151583 13581181 230880077