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230900544 = 263672101
BaseRepresentation
bin11011100001101…
…00001101000000
3121002110222000000
431300310031000
5433102304134
634525000000
75502423300
oct1560641500
9532428000
10230900544
11109378aa6
12653b3000
1338ab6154
1422947600
151540ee99
hexdc34340

230900544 has 294 divisors, whose sum is σ = 807047154. Its totient is φ = 65318400.

The previous prime is 230900539. The next prime is 230900563. The reversal of 230900544 is 445009032.

230900544 is a `hidden beast` number, since 2 + 30 + 90 + 0 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 228614400 + 2286144 = 15120^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (294).

It is a super-2 number, since 2×2309005442 = 106630122438991872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2286094 + ... + 2286194.

Almost surely, 2230900544 is an apocalyptic number.

230900544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230900544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403523577).

230900544 is an abundant number, since it is smaller than the sum of its proper divisors (576146610).

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

230900544 is an equidigital number, since it uses as much as digits as its factorization.

230900544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 230900544 is about 15195.4119391348. The cubic root of 230900544 is about 613.4911734074.

Adding to 230900544 its reverse (445009032), we get a palindrome (675909576).

The spelling of 230900544 in words is "two hundred thirty million, nine hundred thousand, five hundred forty-four".