Search a number
-
+
230447160 = 23335379563
BaseRepresentation
bin11011011110001…
…01100000111000
3121001121221002000
431233011200320
5432443302120
634511141000
75465524416
oct1557054070
9531557060
10230447160
111090993a9
1265214760
1338987988
142286a2b6
1515370990
hexdbc5838

230447160 has 128 divisors (see below), whose sum is σ = 771552000. Its totient is φ = 61181568.

The previous prime is 230447159. The next prime is 230447171. The reversal of 230447160 is 61744032.

230447160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409039 + ... + 409601.

It is an arithmetic number, because the mean of its divisors is an integer number (6027750).

Almost surely, 2230447160 is an apocalyptic number.

230447160 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 230447160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385776000).

230447160 is an abundant number, since it is smaller than the sum of its proper divisors (541104840).

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

230447160 is a wasteful number, since it uses less digits than its factorization.

230447160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 230447160 is about 15180.4861582230. The cubic root of 230447160 is about 613.0893707845.

The spelling of 230447160 in words is "two hundred thirty million, four hundred forty-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 379 540 563 758 1080 1126 1137 1516 1689 1895 2252 2274 2815 3032 3378 3411 3790 4504 4548 5067 5630 5685 6756 6822 7580 8445 9096 10134 10233 11260 11370 13512 13644 15160 15201 16890 17055 20268 20466 22520 22740 25335 27288 30402 33780 34110 40536 40932 45480 50670 51165 60804 67560 68220 76005 81864 101340 102330 121608 136440 152010 202680 204660 213377 304020 409320 426754 608040 640131 853508 1066885 1280262 1707016 1920393 2133770 2560524 3200655 3840786 4267540 5121048 5761179 6401310 7681572 8535080 9601965 11522358 12802620 15363144 19203930 23044716 25605240 28805895 38407860 46089432 57611790 76815720 115223580 230447160