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230764520 = 23572235119
BaseRepresentation
bin11011100000100…
…10111111101000
3121002020001102002
431300102333220
5433033431040
634522030132
75501315600
oct1560227750
9532201362
10230764520
11109295888
1265348348
1338a6926c
142290dc00
15153d4a15
hexdc12fe8

230764520 has 96 divisors (see below), whose sum is σ = 630374400. Its totient is φ = 75664512.

The previous prime is 230764493. The next prime is 230764537. The reversal of 230764520 is 25467032.

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, 42521 + ... + 47639.

It is an arithmetic number, because the mean of its divisors is an integer number (6566400).

Almost surely, 2230764520 is an apocalyptic number.

230764520 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 230764520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315187200).

230764520 is an abundant number, since it is smaller than the sum of its proper divisors (399609880).

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

230764520 is a wasteful number, since it uses less digits than its factorization.

230764520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5156 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 230764520 is about 15190.9354550666. The cubic root of 230764520 is about 613.3706800930.

The spelling of 230764520 in words is "two hundred thirty million, seven hundred sixty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 49 56 70 92 98 115 140 161 184 196 230 245 280 322 392 460 490 644 805 920 980 1127 1288 1610 1960 2254 3220 4508 5119 5635 6440 9016 10238 11270 20476 22540 25595 35833 40952 45080 51190 71666 102380 117737 143332 179165 204760 235474 250831 286664 358330 470948 501662 588685 716660 824159 941896 1003324 1177370 1254155 1433320 1648318 2006648 2354740 2508310 3296636 4120795 4709480 5016620 5769113 6593272 8241590 10033240 11538226 16483180 23076452 28845565 32966360 46152904 57691130 115382260 230764520