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230045160 = 233519163619
BaseRepresentation
bin11011011011000…
…11010111101000
3121000212111122010
431231203113220
5432342421120
634454355520
75462231412
oct1555432750
9530774563
10230045160
11108944374
126505bba0
13388769c7
14227a39b2
15152e17e0
hexdb635e8

230045160 has 128 divisors (see below), whose sum is σ = 732096000. Its totient is φ = 57666816.

The previous prime is 230045159. The next prime is 230045177. The reversal of 230045160 is 61540032.

It is a happy 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, 371331 + ... + 371949.

It is an arithmetic number, because the mean of its divisors is an integer number (5719500).

Almost surely, 2230045160 is an apocalyptic number.

230045160 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 230045160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366048000).

230045160 is an abundant number, since it is smaller than the sum of its proper divisors (502050840).

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

230045160 is a wasteful number, since it uses less digits than its factorization.

230045160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 230045160 is about 15167.2396961346. The cubic root of 230045160 is about 612.7326651832.

Adding to 230045160 its reverse (61540032), we get a palindrome (291585192).

The spelling of 230045160 in words is "two hundred thirty million, forty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 163 190 228 285 326 380 456 489 570 619 652 760 815 978 1140 1238 1304 1630 1857 1956 2280 2445 2476 3095 3097 3260 3714 3912 4890 4952 6190 6194 6520 7428 9285 9291 9780 11761 12380 12388 14856 15485 18570 18582 19560 23522 24760 24776 30970 35283 37140 37164 46455 47044 58805 61940 70566 74280 74328 92910 94088 100897 117610 123880 141132 176415 185820 201794 235220 282264 302691 352830 371640 403588 470440 504485 605382 705660 807176 1008970 1210764 1411320 1513455 1917043 2017940 2421528 3026910 3834086 4035880 5751129 6053820 7668172 9585215 11502258 12107640 15336344 19170430 23004516 28755645 38340860 46009032 57511290 76681720 115022580 230045160