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232540100 = 225213178877
BaseRepresentation
bin11011101110001…
…00011111000100
3121012120021001022
431313010133010
5434012240400
635024050312
75522362322
oct1567043704
9535507038
10232540100
1110a298901
1265a63998
133923b4c0
1422c52d12
1515635b85
hexddc47c4

232540100 has 36 divisors (see below), whose sum is σ = 543431364. Its totient is φ = 85860480.

The previous prime is 232540073. The next prime is 232540141. The reversal of 232540100 is 1045232.

232540100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 27019204 + 205520896 = 5198^2 + 14336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88139 + ... + 90738.

Almost surely, 2232540100 is an apocalyptic number.

232540100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232540100 is an abundant number, since it is smaller than the sum of its proper divisors (310891264).

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

232540100 is a wasteful number, since it uses less digits than its factorization.

232540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178904 (or 178897 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 232540100 is about 15249.2655560850. The cubic root of 232540100 is about 614.9398226972.

Adding to 232540100 its reverse (1045232), we get a palindrome (233585332).

The spelling of 232540100 in words is "two hundred thirty-two million, five hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 178877 357754 715508 894385 1788770 2325401 3577540 4471925 4650802 8943850 9301604 11627005 17887700 23254010 46508020 58135025 116270050 232540100