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230325440 = 2653532039
BaseRepresentation
bin11011011101001…
…11110011000000
3121001101202002212
431232213303000
5432430403230
634504401252
75464506512
oct1556476300
9531352085
10230325440
11109015a04
1265176228
1338944457
1422837bb2
1515349895
hexdba7cc0

230325440 has 56 divisors (see below), whose sum is σ = 550285920. Its totient is φ = 91824128.

The previous prime is 230325421. The next prime is 230325451. The reversal of 230325440 is 44523032.

230325440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2303254402 = 106099616622387200, which contains 22 as substring.

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, 111941 + ... + 113979.

Almost surely, 2230325440 is an apocalyptic number.

230325440 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 230325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275142960).

230325440 is an abundant number, since it is smaller than the sum of its proper divisors (319960480).

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

230325440 is a wasteful number, since it uses less digits than its factorization.

230325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 230325440 is about 15176.4765344266. The cubic root of 230325440 is about 612.9814091143.

Adding to 230325440 its reverse (44523032), we get a palindrome (274848472).

The spelling of 230325440 in words is "two hundred thirty million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 353 706 1412 1765 2039 2824 3530 4078 5648 7060 8156 10195 11296 14120 16312 20390 22592 28240 32624 40780 56480 65248 81560 112960 130496 163120 326240 652480 719767 1439534 2879068 3598835 5758136 7197670 11516272 14395340 23032544 28790680 46065088 57581360 115162720 230325440