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23804133000 = 2335326872953
BaseRepresentation
bin10110001010110101…
…100011111010001000
32021102221200020200120
4112022311203322020
5342222324224000
614534021103240
71501613535444
oct261265437210
967387606616
1023804133000
11a1058a349a
124743b57b20
13232485b2cb
14121b611824
15944c016a0
hex58ad63e88

23804133000 has 128 divisors (see below), whose sum is σ = 74321694720. Its totient is φ = 6343257600.

The previous prime is 23804132987. The next prime is 23804133011. The reversal of 23804133000 is 33140832.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8059524 + ... + 8062476.

It is an arithmetic number, because the mean of its divisors is an integer number (580638240).

Almost surely, 223804133000 is an apocalyptic number.

23804133000 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 23804133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37160847360).

23804133000 is an abundant number, since it is smaller than the sum of its proper divisors (50517561720).

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

23804133000 is a wasteful number, since it uses less digits than its factorization.

23804133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5664 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23804133000 its reverse (33140832), we get a palindrome (23837273832).

The spelling of 23804133000 in words is "twenty-three billion, eight hundred four million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2687 2953 3000 5374 5906 8061 8859 10748 11812 13435 14765 16122 17718 21496 23624 26870 29530 32244 35436 40305 44295 53740 59060 64488 67175 70872 73825 80610 88590 107480 118120 134350 147650 161220 177180 201525 221475 268700 295300 322440 335875 354360 369125 403050 442950 537400 590600 671750 738250 806100 885900 1007625 1107375 1343500 1476500 1612200 1771800 2015250 2214750 2687000 2953000 4030500 4429500 7934711 8061000 8859000 15869422 23804133 31738844 39673555 47608266 63477688 79347110 95216532 119020665 158694220 190433064 198367775 238041330 317388440 396735550 476082660 595103325 793471100 952165320 991838875 1190206650 1586942200 1983677750 2380413300 2975516625 3967355500 4760826600 5951033250 7934711000 11902066500 23804133000