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230850820 = 225177173131
BaseRepresentation
bin11011100001010…
…00000100000100
3121002101102210101
431300220010010
5433044211240
634523533444
75502125314
oct1560500404
9532342711
10230850820
11109344702
126538a284
1338a99625
1422933444
151540039a
hexdc28104

230850820 has 96 divisors (see below), whose sum is σ = 531691776. Its totient is φ = 83865600.

The previous prime is 230850811. The next prime is 230850827. The reversal of 230850820 is 28058032.

It is not an unprimeable number, because it can be changed into a prime (230850827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1762155 + ... + 1762285.

It is an arithmetic number, because the mean of its divisors is an integer number (5538456).

Almost surely, 2230850820 is an apocalyptic number.

230850820 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 230850820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265845888).

230850820 is an abundant number, since it is smaller than the sum of its proper divisors (300840956).

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

230850820 is a wasteful number, since it uses less digits than its factorization.

230850820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 230850820 is about 15193.7756992790. The cubic root of 230850820 is about 613.4471321871.

The spelling of 230850820 in words is "two hundred thirty million, eight hundred fifty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 71 73 85 131 142 146 170 262 284 292 340 355 365 524 655 710 730 1207 1241 1310 1420 1460 2227 2414 2482 2620 4454 4828 4964 5183 6035 6205 8908 9301 9563 10366 11135 12070 12410 18602 19126 20732 22270 24140 24820 25915 37204 38252 44540 46505 47815 51830 88111 93010 95630 103660 158117 162571 176222 186020 191260 316234 325142 352444 440555 632468 650284 678973 790585 812855 881110 1357946 1581170 1625710 1762220 2715892 3162340 3251420 3394865 6789730 11542541 13579460 23085082 46170164 57712705 115425410 230850820