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230646144 = 273600641
BaseRepresentation
bin11011011111101…
…10000110000000
3121002000001000210
431233312012000
5433021134034
634515314120
75500313511
oct1557660600
9532001023
10230646144
11109214953
12652ab940
1338a27411
14228bca08
15153ae8e9
hexdbf6180

230646144 has 32 divisors (see below), whose sum is σ = 612654840. Its totient is φ = 76881920.

The previous prime is 230646133. The next prime is 230646161. The reversal of 230646144 is 441646032.

230646144 is digitally balanced in base 2, 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 (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 299937 + ... + 300704.

Almost surely, 2230646144 is an apocalyptic number.

230646144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230646144 is an abundant number, since it is smaller than the sum of its proper divisors (382008696).

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

230646144 is an equidigital number, since it uses as much as digits as its factorization.

230646144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600658 (or 600646 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 230646144 is about 15187.0386843519. The cubic root of 230646144 is about 613.2657812600.

It can be divided in two parts, 23064 and 6144, that multiplied together give a square (141705216 = 119042).

The spelling of 230646144 in words is "two hundred thirty million, six hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 600641 1201282 1801923 2402564 3603846 4805128 7207692 9610256 14415384 19220512 28830768 38441024 57661536 76882048 115323072 230646144