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230310300 = 2235211101691
BaseRepresentation
bin11011011101001…
…00000110011100
3121001100222100010
431232210012130
5432424412200
634504203220
75464414413
oct1556440634
9531328303
10230310300
111090055a0
1265169510
133893a5ac
142283247a
1515345150
hexdba419c

230310300 has 144 divisors (see below), whose sum is σ = 735202944. Its totient is φ = 55200000.

The previous prime is 230310287. The next prime is 230310313. The reversal of 230310300 is 3013032.

It is a happy number.

230310300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230310287) and next prime (230310313).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 332955 + ... + 333645.

It is an arithmetic number, because the mean of its divisors is an integer number (5105576).

Almost surely, 2230310300 is an apocalyptic number.

230310300 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 230310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367601472).

230310300 is an abundant number, since it is smaller than the sum of its proper divisors (504892644).

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

230310300 is a wasteful number, since it uses less digits than its factorization.

230310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 230310300 is about 15175.9777279752. The cubic root of 230310300 is about 612.9679777685.

Adding to 230310300 its reverse (3013032), we get a palindrome (233323332).

The spelling of 230310300 in words is "two hundred thirty million, three hundred ten thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 691 825 1010 1100 1111 1212 1382 1515 1650 2020 2073 2222 2525 2764 3030 3300 3333 3455 4146 4444 5050 5555 6060 6666 6910 7575 7601 8292 10100 10365 11110 13332 13820 15150 15202 16665 17275 20730 22220 22803 27775 30300 30404 33330 34550 38005 41460 45606 51825 55550 66660 69100 69791 76010 83325 91212 103650 111100 114015 139582 152020 166650 190025 207300 209373 228030 279164 333300 348955 380050 418746 456060 570075 697910 760100 767701 837492 1046865 1140150 1395820 1535402 1744775 2093730 2280300 2303103 3070804 3489550 3838505 4187460 4606206 5234325 6979100 7677010 9212412 10468650 11515515 15354020 19192525 20937300 23031030 38385050 46062060 57577575 76770100 115155150 230310300