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230549148 = 223223383727
BaseRepresentation
bin11011011110111…
…10011010011100
3121001211002222100
431233132122130
5433010033043
634513245100
75466430644
oct1557363234
9531732870
10230549148
11109158a95
1265263790
13389c221b
1422895524
1515390cd3
hexdbde69c

230549148 has 72 divisors (see below), whose sum is σ = 610541568. Its totient is φ = 73215648.

The previous prime is 230549129. The next prime is 230549149. The reversal of 230549148 is 841945032.

230549148 is digitally balanced in base 3, 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230549149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316761 + ... + 317487.

It is an arithmetic number, because the mean of its divisors is an integer number (8479744).

Almost surely, 2230549148 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 230549148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305270784).

230549148 is an abundant number, since it is smaller than the sum of its proper divisors (379992420).

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

230549148 is a wasteful number, since it uses less digits than its factorization.

230549148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 230549148 is about 15183.8449675963. The cubic root of 230549148 is about 613.1798015464.

The spelling of 230549148 in words is "two hundred thirty million, five hundred forty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 383 414 727 766 828 1149 1454 1532 2181 2298 2908 3447 4362 4596 6543 6894 8724 8809 13086 13788 16721 17618 26172 26427 33442 35236 50163 52854 66884 79281 100326 105708 150489 158562 200652 278441 300978 317124 556882 601956 835323 1113764 1670646 2505969 3341292 5011938 6404143 10023876 12808286 19212429 25616572 38424858 57637287 76849716 115274574 230549148