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230300128 = 2559223547
BaseRepresentation
bin11011011101000…
…01100111100000
3121001100110101101
431232201213200
5432424101003
634504044144
75464342642
oct1556414740
9531313341
10230300128
11108aa8993
1265163654
1338935a86
142282c892
151534211d
hexdba19e0

230300128 has 48 divisors (see below), whose sum is σ = 464002560. Its totient is φ = 112484736.

The previous prime is 230300111. The next prime is 230300153. The reversal of 230300128 is 821003032.

It is a happy number.

230300128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420751 + ... + 421297.

It is an arithmetic number, because the mean of its divisors is an integer number (9666720).

Almost surely, 2230300128 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 230300128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232001280).

230300128 is an abundant number, since it is smaller than the sum of its proper divisors (233702432).

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

230300128 is a wasteful number, since it uses less digits than its factorization.

230300128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 230300128 is about 15175.6425893601. The cubic root of 230300128 is about 612.9589534188.

The spelling of 230300128 in words is "two hundred thirty million, three hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 59 118 223 236 446 472 547 892 944 1094 1784 1888 2188 3568 4376 7136 8752 13157 17504 26314 32273 52628 64546 105256 121981 129092 210512 243962 258184 421024 487924 516368 975848 1032736 1951696 3903392 7196879 14393758 28787516 57575032 115150064 230300128