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230378144 = 2514395003
BaseRepresentation
bin11011011101101…
…00101010100000
3121001111102101212
431232310222200
5432434100034
634505445252
75465116253
oct1556645240
9531442355
10230378144
11109051567
12651a0828
1338962439
142284d09a
151535a2ce
hexdbb4aa0

230378144 has 24 divisors (see below), whose sum is σ = 453962880. Its totient is φ = 115086016.

The previous prime is 230378119. The next prime is 230378147. The reversal of 230378144 is 441873032.

230378144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 230378144.

It is not an unprimeable number, because it can be changed into a prime (230378147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43547 + ... + 48549.

It is an arithmetic number, because the mean of its divisors is an integer number (18915120).

Almost surely, 2230378144 is an apocalyptic number.

It is an amenable number.

230378144 is a deficient number, since it is larger than the sum of its proper divisors (223584736).

230378144 is a wasteful number, since it uses less digits than its factorization.

230378144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6452 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 230378144 is about 15178.2128065197. The cubic root of 230378144 is about 613.0281605114.

The spelling of 230378144 in words is "two hundred thirty million, three hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 1439 2878 5003 5756 10006 11512 20012 23024 40024 46048 80048 160096 7199317 14398634 28797268 57594536 115189072 230378144