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230889840 = 2435962041
BaseRepresentation
bin11011100001100…
…01100101110000
3121002110102022120
431300301211300
5433101433330
634524434240
75502350136
oct1560614560
9532412276
10230889840
11109370a55
12653a8980
1338ab130c
1422943756
151540bc10
hexdc31970

230889840 has 40 divisors (see below), whose sum is σ = 715759248. Its totient is φ = 61570560.

The previous prime is 230889817. The next prime is 230889853. The reversal of 230889840 is 48988032.

It is a happy number.

230889840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 230889792 and 230889801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480781 + ... + 481260.

Almost surely, 2230889840 is an apocalyptic number.

230889840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230889840 is an abundant number, since it is smaller than the sum of its proper divisors (484869408).

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

230889840 is a wasteful number, since it uses less digits than its factorization.

230889840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962057 (or 962051 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 230889840 is about 15195.0597234759. The cubic root of 230889840 is about 613.4816932637.

The spelling of 230889840 in words is "two hundred thirty million, eight hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 962041 1924082 2886123 3848164 4810205 5772246 7696328 9620410 11544492 14430615 15392656 19240820 23088984 28861230 38481640 46177968 57722460 76963280 115444920 230889840