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230203233 = 321337411297
BaseRepresentation
bin11011011100010…
…01111101100001
3121001011112110200
431232021331201
5432413000413
634502015413
75463460311
oct1556117541
9531145420
10230203233
11108a42107
1265117569
1338900940
1422805441
1515323573
hexdb89f61

230203233 has 48 divisors (see below), whose sum is σ = 377032656. Its totient is φ = 134369280.

The previous prime is 230203201. The next prime is 230203271. The reversal of 230203233 is 332302032.

230203233 is a `hidden beast` number, since 230 + 203 + 233 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3038049 + 227165184 = 1743^2 + 15072^2 .

It is not a de Polignac number, because 230203233 - 25 = 230203201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230203283) 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, 176841 + ... + 178137.

It is an arithmetic number, because the mean of its divisors is an integer number (7854847).

Almost surely, 2230203233 is an apocalyptic number.

It is an amenable number.

230203233 is a deficient number, since it is larger than the sum of its proper divisors (146829423).

230203233 is a wasteful number, since it uses less digits than its factorization.

230203233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 230203233 is about 15172.4498021908. The cubic root of 230203233 is about 612.8729772193.

Adding to 230203233 its reverse (332302032), we get a palindrome (562505265).

The spelling of 230203233 in words is "two hundred thirty million, two hundred three thousand, two hundred thirty-three".

Divisors: 1 3 9 13 37 39 41 111 117 123 333 369 481 533 1297 1443 1517 1599 3891 4329 4551 4797 11673 13653 16861 19721 47989 50583 53177 59163 143967 151749 159531 177489 431901 478593 623857 691301 1871571 1967549 2073903 5614713 5902647 6221709 17707941 25578137 76734411 230203233