Search a number
-
+
231304000 = 265329997
BaseRepresentation
bin11011100100101…
…10101101000000
3121010020110102211
431302112231000
5433203212000
634541351504
75506023454
oct1562265500
9533213384
10231304000
11109624134
1265568594
1338bc7995
1422a10664
151548e7ba
hexdc96b40

231304000 has 112 divisors (see below), whose sum is σ = 593171280. Its totient is φ = 89241600.

The previous prime is 231303997. The next prime is 231304019. The reversal of 231304000 is 403132.

It can be written as a sum of positive squares in 8 ways, for example, as 33732864 + 197571136 = 5808^2 + 14056^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231502 + ... + 232498.

Almost surely, 2231304000 is an apocalyptic number.

231304000 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 231304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296585640).

231304000 is an abundant number, since it is smaller than the sum of its proper divisors (361867280).

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

231304000 is an equidigital number, since it uses as much as digits as its factorization.

231304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 231304000 is about 15208.6817311692. The cubic root of 231304000 is about 613.8482862825.

Adding to 231304000 its reverse (403132), we get a palindrome (231707132).

The spelling of 231304000 in words is "two hundred thirty-one million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 580 725 800 928 997 1000 1160 1450 1600 1856 1994 2000 2320 2900 3625 3988 4000 4640 4985 5800 7250 7976 8000 9280 9970 11600 14500 15952 19940 23200 24925 28913 29000 31904 39880 46400 49850 57826 58000 63808 79760 99700 115652 116000 124625 144565 159520 199400 231304 232000 249250 289130 319040 398800 462608 498500 578260 722825 797600 925216 997000 1156520 1445650 1595200 1850432 1994000 2313040 2891300 3614125 3988000 4626080 5782600 7228250 7976000 9252160 11565200 14456500 23130400 28913000 46260800 57826000 115652000 231304000