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230144040 = 233257271337
BaseRepresentation
bin11011011011110…
…11100000101000
3121001001112021100
431231323200220
5432404102130
634500441400
75463122610
oct1555734050
9531045240
10230144040
11108a01695
12650a9260
13388aca09
14227cba40
1515310c60
hexdb7b828

230144040 has 192 divisors, whose sum is σ = 860520960. Its totient is φ = 52254720.

The previous prime is 230144039. The next prime is 230144063. The reversal of 230144040 is 40441032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 682752 + ... + 683088.

It is an arithmetic number, because the mean of its divisors is an integer number (4481880).

Almost surely, 2230144040 is an apocalyptic number.

230144040 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 230144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430260480).

230144040 is an abundant number, since it is smaller than the sum of its proper divisors (630376920).

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

230144040 is a wasteful number, since it uses less digits than its factorization.

230144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230144040 is about 15170.4990029992. The cubic root of 230144040 is about 612.8204426255.

Adding to 230144040 its reverse (40441032), we get a palindrome (270585072).

The spelling of 230144040 in words is "two hundred thirty million, one hundred forty-four thousand, forty".