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230211311000 = 23531147445283
BaseRepresentation
bin1101011001100110101…
…0011101010110011000
3211000012211012022001212
43112121222131112120
512232433043423000
6253431351202252
722426564566626
oct3263152352630
9730184168055
10230211311000
11896a5313320
1238749376388
131892a3cba68
14b1dc614516
155ec58ddc35
hex3599a9d598

230211311000 has 128 divisors (see below), whose sum is σ = 600171586560. Its totient is φ = 81931888000.

The previous prime is 230211310921. The next prime is 230211311003. The reversal of 230211311000 is 113112032.

230211311000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230211311003) 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, 294359 + ... + 739641.

It is an arithmetic number, because the mean of its divisors is an integer number (4688840520).

Almost surely, 2230211311000 is an apocalyptic number.

230211311000 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 230211311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300085793280).

230211311000 is an abundant number, since it is smaller than the sum of its proper divisors (369960275560).

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

230211311000 is a wasteful number, since it uses less digits than its factorization.

230211311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445362 (or 445348 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 230211311000 its reverse (113112032), we get a palindrome (230324423032).

The spelling of 230211311000 in words is "two hundred thirty billion, two hundred eleven million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 125 188 200 220 235 250 275 376 440 470 500 517 550 940 1000 1034 1100 1175 1375 1880 2068 2200 2350 2585 2750 4136 4700 5170 5500 5875 9400 10340 11000 11750 12925 20680 23500 25850 47000 51700 64625 103400 129250 258500 445283 517000 890566 1781132 2226415 3562264 4452830 4898113 8905660 9796226 11132075 17811320 19592452 20928301 22264150 24490565 39184904 41856602 44528300 48981130 55660375 83713204 89056600 97962260 104641505 111320750 122452825 167426408 195924520 209283010 222641500 230211311 244905650 418566020 445283000 460422622 489811300 523207525 612264125 837132040 920845244 979622600 1046415050 1151056555 1224528250 1841690488 2092830100 2302113110 2449056500 2616037625 4185660200 4604226220 4898113000 5232075250 5755282775 9208452440 10464150500 11510565550 20928301000 23021131100 28776413875 46042262200 57552827750 115105655500 230211311000