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230202313000 = 235311130316061
BaseRepresentation
bin1101011001100100100…
…0001000100100101000
3211000012012021011010121
43112121020020210220
512232423243004000
6253430430253024
722426425242452
oct3263110104450
9730165234117
10230202313000
11896a0227a60
1238746357174
131892859b2ba
14b1db3512d2
155ec4c12b1a
hex3599208928

230202313000 has 128 divisors (see below), whose sum is σ = 588131331840. Its totient is φ = 83640480000.

The previous prime is 230202312973. The next prime is 230202313007. The reversal of 230202313000 is 313202032.

It is not an unprimeable number, because it can be changed into a prime (230202313007) 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, 14324970 + ... + 14341030.

It is an arithmetic number, because the mean of its divisors is an integer number (4594776030).

Almost surely, 2230202313000 is an apocalyptic number.

230202313000 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 230202313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294065665920).

230202313000 is an abundant number, since it is smaller than the sum of its proper divisors (357929018840).

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

230202313000 is a wasteful number, since it uses less digits than its factorization.

230202313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17396 (or 17382 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 230202313000 its reverse (313202032), we get a palindrome (230515515032).

The spelling of 230202313000 in words is "two hundred thirty billion, two hundred two million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1303 1375 2200 2606 2750 5212 5500 6515 10424 11000 13030 14333 16061 26060 28666 32122 32575 52120 57332 64244 65150 71665 80305 114664 128488 130300 143330 160610 162875 176671 260600 286660 321220 325750 353342 358325 401525 573320 642440 651500 706684 716650 803050 883355 1303000 1413368 1433300 1606100 1766710 1791625 2007625 2866600 3212200 3533420 3583250 4015250 4416775 7066840 7166500 8030500 8833550 14333000 16061000 17667100 20927483 22083875 35334200 41854966 44167750 83709932 88335500 104637415 167419864 176671000 209274830 230202313 418549660 460404626 523187075 837099320 920809252 1046374150 1151011565 1841618504 2092748300 2302023130 2615935375 4185496600 4604046260 5231870750 5755057825 9208092520 10463741500 11510115650 20927483000 23020231300 28775289125 46040462600 57550578250 115101156500 230202313000