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232300240 = 24517170809
BaseRepresentation
bin11011101100010…
…01111011010000
3121012010002000121
431312021323100
5433432101430
635015000024
75520343114
oct1566117320
9535102017
10232300240
1110a144677
1265969014
1339186283
1422bcd744
15155d9a7a
hexdd89ed0

232300240 has 40 divisors (see below), whose sum is σ = 571871880. Its totient is φ = 87453696.

The previous prime is 232300217. The next prime is 232300241. The reversal of 232300240 is 42003232.

It can be written as a sum of positive squares in 4 ways, for example, as 27123264 + 205176976 = 5208^2 + 14324^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2323002403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232300241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84045 + ... + 86764.

It is an arithmetic number, because the mean of its divisors is an integer number (14296797).

Almost surely, 2232300240 is an apocalyptic number.

232300240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232300240 is an abundant number, since it is smaller than the sum of its proper divisors (339571640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232300240 is a wasteful number, since it uses less digits than its factorization.

232300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170839 (or 170833 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 232300240 is about 15241.3988859291. The cubic root of 232300240 is about 614.7283176577.

Adding to 232300240 its reverse (42003232), we get a palindrome (274303472).

The spelling of 232300240 in words is "two hundred thirty-two million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 170809 341618 683236 854045 1366472 1708090 2732944 2903753 3416180 5807506 6832360 11615012 13664720 14518765 23230024 29037530 46460048 58075060 116150120 232300240