Search a number
-
+
230087160 = 233252922039
BaseRepresentation
bin11011011011011…
…01100111111000
3121000221122020200
431231231213320
5432400242120
634455322200
75462465022
oct1555554770
9530848220
10230087160
11108972986
1265080360
133888cb64
14227b5012
15152ede90
hexdb6d9f8

230087160 has 96 divisors (see below), whose sum is σ = 773604000. Its totient is φ = 59238144.

The previous prime is 230087149. The next prime is 230087219. The reversal of 230087160 is 61780032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580 + ... + 21459.

It is an arithmetic number, because the mean of its divisors is an integer number (8058375).

Almost surely, 2230087160 is an apocalyptic number.

230087160 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 230087160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386802000).

230087160 is an abundant number, since it is smaller than the sum of its proper divisors (543516840).

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

230087160 is a wasteful number, since it uses less digits than its factorization.

230087160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22085 (or 22078 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 230087160 is about 15168.6241960173. The cubic root of 230087160 is about 612.7699523633.

The spelling of 230087160 in words is "two hundred thirty million, eighty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 22039 44078 66117 88156 110195 132234 176312 198351 220390 264468 330585 396702 440780 528936 639131 661170 793404 881560 991755 1278262 1322340 1586808 1917393 1983510 2556524 2644680 3195655 3834786 3967020 5113048 5752179 6391310 7669572 7934040 9586965 11504358 12782620 15339144 19173930 23008716 25565240 28760895 38347860 46017432 57521790 76695720 115043580 230087160