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230410656 = 253671783
BaseRepresentation
bin11011011101111…
…00100110100000
3121001120002000000
431232330212200
5432441120111
634510300000
75465313120
oct1556744640
9531502000
10230410656
11109073a33
12651b7600
1338974188
142285ac80
1515364c56
hexdbbc9a0

230410656 has 336 divisors, whose sum is σ = 832918464. Its totient is φ = 61212672.

The previous prime is 230410577. The next prime is 230410667. The reversal of 230410656 is 656014032.

230410656 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 1 + 0 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2775991 + ... + 2776073.

It is an arithmetic number, because the mean of its divisors is an integer number (2478924).

Almost surely, 2230410656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230410656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416459232).

230410656 is an abundant number, since it is smaller than the sum of its proper divisors (602507808).

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

230410656 is an equidigital number, since it uses as much as digits as its factorization.

230410656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

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

The square root of 230410656 is about 15179.2837775700. The cubic root of 230410656 is about 613.0569969188.

Adding to 230410656 its reverse (656014032), we get a palindrome (886424688).

The spelling of 230410656 in words is "two hundred thirty million, four hundred ten thousand, six hundred fifty-six".