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983146230 = 232511712197
BaseRepresentation
bin111010100110011…
…001111011110110
32112111222000002100
4322212121323312
54003141134410
6241320122530
733235414353
oct7246317366
92474860070
10983146230
11464a62350
12235306446
131288b8b41
149480162a
155b4a28c0
hex3a999ef6

983146230 has 144 divisors (see below), whose sum is σ = 2842746192. Its totient is φ = 233788800.

The previous prime is 983146189. The next prime is 983146273. The reversal of 983146230 is 32641389.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4990492 + ... + 4990688.

It is an arithmetic number, because the mean of its divisors is an integer number (19741293).

Almost surely, 2983146230 is an apocalyptic number.

983146230 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 983146230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421373096).

983146230 is an abundant number, since it is smaller than the sum of its proper divisors (1859599962).

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

983146230 is a wasteful number, since it uses less digits than its factorization.

983146230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 983146230 is about 31355.1627327941. The cubic root of 983146230 is about 994.3502167295.

The spelling of 983146230 in words is "nine hundred eighty-three million, one hundred forty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 71 90 99 110 142 165 197 198 213 330 355 394 426 495 591 639 710 781 985 990 1065 1182 1278 1562 1773 1970 2130 2167 2343 2955 3195 3546 3905 4334 4686 5041 5910 6390 6501 7029 7810 8865 10082 10835 11715 13002 13987 14058 15123 17730 19503 21670 23430 25205 27974 30246 32505 35145 39006 41961 45369 50410 55451 65010 69935 70290 75615 83922 90738 97515 110902 125883 139870 151230 153857 166353 195030 209805 226845 251766 277255 307714 332706 419610 453690 461571 499059 554510 629415 769285 831765 923142 993077 998118 1258830 1384713 1538570 1663530 1986154 2307855 2495295 2769426 2979231 4615710 4965385 4990590 5958462 6923565 8937693 9930770 10923847 13847130 14896155 17875386 21847694 29792310 32771541 44688465 54619235 65543082 89376930 98314623 109238470 163857705 196629246 327715410 491573115 983146230