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230109464 = 231353109383
BaseRepresentation
bin11011011011100…
…11000100011000
3121000222202211202
431231303010120
5432402000324
634500013332
75462620034
oct1555630430
9530882752
10230109464
11108988712
1265091248
133889a060
14227bd1c4
15153058ae
hexdb73118

230109464 has 64 divisors (see below), whose sum is σ = 479001600. Its totient is φ = 102974976.

The previous prime is 230109443. The next prime is 230109493. The reversal of 230109464 is 464901032.

230109464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600617 + ... + 600999.

It is an arithmetic number, because the mean of its divisors is an integer number (7484400).

Almost surely, 2230109464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230109464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239500800).

230109464 is an abundant number, since it is smaller than the sum of its proper divisors (248892136).

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

230109464 is a wasteful number, since it uses less digits than its factorization.

230109464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 230109464 is about 15169.3593800134. The cubic root of 230109464 is about 612.7897517868.

The spelling of 230109464 in words is "two hundred thirty million, one hundred nine thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 53 104 106 109 212 218 383 424 436 689 766 872 1378 1417 1532 2756 2834 3064 4979 5512 5668 5777 9958 11336 11554 19916 20299 23108 39832 40598 41747 46216 75101 81196 83494 150202 162392 166988 263887 300404 333976 527774 542711 600808 1055548 1085422 2111096 2170844 2212591 4341688 4425182 8850364 17700728 28763683 57527366 115054732 230109464