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230992300 = 2252711131229
BaseRepresentation
bin11011100010010…
…10100110101100
3121002122121212101
431301022212230
5433113223200
634530544444
75503254640
oct1561124654
9532577771
10230992300
11109430a30
1265438124
1338b18b46
142296cc20
151542c26a
hexdc4a9ac

230992300 has 144 divisors (see below), whose sum is σ = 632459520. Its totient is φ = 71136000.

The previous prime is 230992297. The next prime is 230992301. The reversal of 230992300 is 3299032.

It is a happy number.

230992300 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 (28).

It is not an unprimeable number, because it can be changed into a prime (230992301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1008586 + ... + 1008814.

It is an arithmetic number, because the mean of its divisors is an integer number (4392080).

Almost surely, 2230992300 is an apocalyptic number.

230992300 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 230992300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316229760).

230992300 is an abundant number, since it is smaller than the sum of its proper divisors (401467220).

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

230992300 is a wasteful number, since it uses less digits than its factorization.

230992300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

The square root of 230992300 is about 15198.4308400571. The cubic root of 230992300 is about 613.5724263433.

The spelling of 230992300 in words is "two hundred thirty million, nine hundred ninety-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 131 140 154 175 220 229 262 275 308 350 385 458 524 550 655 700 770 916 917 1100 1145 1310 1441 1540 1603 1834 1925 2290 2519 2620 2882 3206 3275 3668 3850 4580 4585 5038 5725 5764 6412 6550 7205 7700 8015 9170 10076 10087 11450 12595 13100 14410 16030 17633 18340 20174 22900 22925 25190 28820 29999 32060 35266 36025 40075 40348 45850 50380 50435 59998 62975 70532 72050 80150 88165 91700 100870 119996 125950 144100 149995 160300 176330 201740 209993 251900 252175 299990 329989 352660 419986 440825 504350 599980 659978 749975 839972 881650 1008700 1049965 1319956 1499950 1649945 1763300 2099930 2309923 2999900 3299890 4199860 4619846 5249825 6599780 8249725 9239692 10499650 11549615 16499450 20999300 23099230 32998900 46198460 57748075 115496150 230992300