Search a number
-
+
230690520 = 233252113037
BaseRepresentation
bin11011100000000…
…00111011011000
3121002002021220100
431300000323120
5433024044040
634520255400
75500560054
oct1560007330
9532067810
10230690520
11109245225
1265311560
1338a41688
14228d0c64
15153bcb30
hexdc00ed8

230690520 has 96 divisors (see below), whose sum is σ = 753545520. Its totient is φ = 61205760.

The previous prime is 230690519. The next prime is 230690569. The reversal of 230690520 is 25096032.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 74442 + ... + 77478.

Almost surely, 2230690520 is an apocalyptic number.

230690520 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 230690520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376772760).

230690520 is an abundant number, since it is smaller than the sum of its proper divisors (522855000).

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

230690520 is a wasteful number, since it uses less digits than its factorization.

230690520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 230690520 is about 15188.4995967344. The cubic root of 230690520 is about 613.3051092347.

The spelling of 230690520 in words is "two hundred thirty million, six hundred ninety thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 211 360 422 633 844 1055 1266 1688 1899 2110 2532 3037 3165 3798 4220 5064 6074 6330 7596 8440 9111 9495 12148 12660 15185 15192 18222 18990 24296 25320 27333 30370 36444 37980 45555 54666 60740 72888 75960 91110 109332 121480 136665 182220 218664 273330 364440 546660 640807 1093320 1281614 1922421 2563228 3204035 3844842 5126456 5767263 6408070 7689684 9612105 11534526 12816140 15379368 19224210 23069052 25632280 28836315 38448420 46138104 57672630 76896840 115345260 230690520