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230800515 = 35112361997
BaseRepresentation
bin11011100000110…
…11110010000011
3121002021212210020
431300123302003
5433041104030
634522504523
75501525541
oct1560336203
9532255706
10230800515
1110930a930
1265365143
1338a7c76a
142291cd91
15153e0510
hexdc1bc83

230800515 has 64 divisors (see below), whose sum is σ = 427686912. Its totient is φ = 105177600.

The previous prime is 230800489. The next prime is 230800541. The reversal of 230800515 is 515008032.

230800515 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230800489) and next prime (230800541).

It is not a de Polignac number, because 230800515 - 27 = 230800387 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230997 + ... + 231993.

It is an arithmetic number, because the mean of its divisors is an integer number (6682608).

Almost surely, 2230800515 is an apocalyptic number.

230800515 is a deficient number, since it is larger than the sum of its proper divisors (196886397).

230800515 is a wasteful number, since it uses less digits than its factorization.

230800515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 230800515 is about 15192.1201614521. The cubic root of 230800515 is about 613.4025699315.

Adding to 230800515 its reverse (515008032), we get a palindrome (745808547).

It can be divided in two parts, 230 and 800515, that added together give a triangular number (800745 = T1265).

The spelling of 230800515 in words is "two hundred thirty million, eight hundred thousand, five hundred fifteen".

Divisors: 1 3 5 11 15 23 33 55 61 69 115 165 183 253 305 345 671 759 915 997 1265 1403 2013 2991 3355 3795 4209 4985 7015 10065 10967 14955 15433 21045 22931 32901 46299 54835 60817 68793 77165 114655 164505 182451 231495 252241 304085 343965 668987 756723 912255 1261205 1398791 2006961 3344935 3783615 4196373 6993955 10034805 15386701 20981865 46160103 76933505 230800515