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230113312 = 25111350287
BaseRepresentation
bin11011011011101…
…00000000100000
3121000222222010021
431231310000200
5432402111222
634500043224
75462634202
oct1555640040
9530888107
10230113312
111089905a0
1265093514
133889ba30
14227c0772
1515306ac7
hexdb74020

230113312 has 48 divisors (see below), whose sum is σ = 532248192. Its totient is φ = 96549120.

The previous prime is 230113259. The next prime is 230113349. The reversal of 230113312 is 213311032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20568 + ... + 29719.

It is an arithmetic number, because the mean of its divisors is an integer number (11088504).

Almost surely, 2230113312 is an apocalyptic number.

230113312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230113312 is an abundant number, since it is smaller than the sum of its proper divisors (302134880).

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

230113312 is a wasteful number, since it uses less digits than its factorization.

230113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50321 (or 50313 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 230113312 is about 15169.4862141076. The cubic root of 230113312 is about 612.7931675551.

Adding to 230113312 its reverse (213311032), we get a palindrome (443424344).

It can be divided in two parts, 2301133 and 12, that multiplied together give a triangular number (27613596 = T7431).

The spelling of 230113312 in words is "two hundred thirty million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 50287 100574 201148 402296 553157 653731 804592 1106314 1307462 1609184 2212628 2614924 4425256 5229848 7191041 8850512 10459696 14382082 17701024 20919392 28764164 57528328 115056656 230113312