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230154760 = 235111015179
BaseRepresentation
bin11011011011111…
…10001000001000
3121001002001222101
431231332020020
5432404423020
634501003144
75463166063
oct1555761010
9531061871
10230154760
11108a09750
12650b34b4
13388b4864
14227d18da
151531400a
hexdb7e208

230154760 has 64 divisors (see below), whose sum is σ = 570628800. Its totient is φ = 82848000.

The previous prime is 230154737. The next prime is 230154761. The reversal of 230154760 is 67451032.

230154760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230154761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41851 + ... + 47029.

It is an arithmetic number, because the mean of its divisors is an integer number (8916075).

Almost surely, 2230154760 is an apocalyptic number.

230154760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230154760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285314400).

230154760 is an abundant number, since it is smaller than the sum of its proper divisors (340474040).

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

230154760 is a wasteful number, since it uses less digits than its factorization.

230154760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302 (or 5298 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 230154760 is about 15170.8523162016. The cubic root of 230154760 is about 612.8299574395.

The spelling of 230154760 in words is "two hundred thirty million, one hundred fifty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5179 5555 8888 10358 11110 20716 22220 25895 41432 44440 51790 56969 103580 113938 207160 227876 284845 455752 523079 569690 1046158 1139380 2092316 2278760 2615395 4184632 5230790 5753869 10461580 11507738 20923160 23015476 28769345 46030952 57538690 115077380 230154760