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230313510 = 23357233523
BaseRepresentation
bin11011011101001…
…00111000100110
3121001101010202000
431232210320212
5432430013020
634504230130
75464426650
oct1556447046
9531333660
10230313510
11109007a49
126516b346
133893bbab
14228336d0
1515346090
hexdba4e26

230313510 has 128 divisors (see below), whose sum is σ = 706268160. Its totient is φ = 52316928.

The previous prime is 230313509. The next prime is 230313511. The reversal of 230313510 is 15313032.

It is an interprime number because it is at equal distance from previous prime (230313509) and next prime (230313511).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230313511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440109 + ... + 440631.

It is an arithmetic number, because the mean of its divisors is an integer number (5517720).

Almost surely, 2230313510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230313510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353134080).

230313510 is an abundant number, since it is smaller than the sum of its proper divisors (475954650).

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

230313510 is a wasteful number, since it uses less digits than its factorization.

230313510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 230313510 is about 15176.0834868552. The cubic root of 230313510 is about 612.9708255469.

Adding to 230313510 its reverse (15313032), we get a palindrome (245626542).

The spelling of 230313510 in words is "two hundred thirty million, three hundred thirteen thousand, five hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 233 270 315 378 466 523 630 699 945 1046 1165 1398 1569 1631 1890 2097 2330 2615 3138 3262 3495 3661 4194 4707 4893 5230 6291 6990 7322 7845 8155 9414 9786 10485 10983 12582 14121 14679 15690 16310 18305 20970 21966 23535 24465 28242 29358 31455 32949 36610 44037 47070 48930 54915 62910 65898 70605 73395 88074 98847 109830 121859 141210 146790 164745 197694 220185 243718 329490 365577 440370 494235 609295 731154 853013 988470 1096731 1218590 1706026 1827885 2193462 2559039 3290193 3655770 4265065 5118078 5483655 6580386 7677117 8530130 10967310 12795195 15354234 16450965 23031351 25590390 32901930 38385585 46062702 76771170 115156755 230313510