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24223530500 = 2253132893221
BaseRepresentation
bin10110100011110101…
…011011111000000100
32022112011211211220022
4112203311123320010
5344102210434000
615043402154312
71515165416621
oct264365337004
968464754808
1024223530500
11a300607aa4
1248404b2998
132390701a00
14125b1c5348
1596b947585
hex5a3d5be04

24223530500 has 144 divisors (see below), whose sum is σ = 57948443280. Its totient is φ = 8840832000.

The previous prime is 24223530473. The next prime is 24223530509. The reversal of 24223530500 is 503532242.

It can be written as a sum of positive squares in 24 ways, for example, as 22929833476 + 1293697024 = 151426^2 + 35968^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 24223530500.

It is not an unprimeable number, because it can be changed into a prime (24223530509) 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, 7518890 + ... + 7522110.

It is an arithmetic number, because the mean of its divisors is an integer number (402419745).

Almost surely, 224223530500 is an apocalyptic number.

24223530500 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 24223530500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28974221640).

24223530500 is an abundant number, since it is smaller than the sum of its proper divisors (33724912780).

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

24223530500 is a wasteful number, since it uses less digits than its factorization.

24223530500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The spelling of 24223530500 in words is "twenty-four billion, two hundred twenty-three million, five hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 89 100 125 130 169 178 250 260 325 338 356 445 500 650 676 845 890 1157 1300 1625 1690 1780 2225 2314 3221 3250 3380 4225 4450 4628 5785 6442 6500 8450 8900 11125 11570 12884 15041 16105 16900 21125 22250 23140 28925 30082 32210 41873 42250 44500 57850 60164 64420 75205 80525 83746 84500 115700 144625 150410 161050 167492 209365 286669 289250 300820 322100 376025 402625 418730 544349 573338 578500 752050 805250 837460 1046825 1088698 1146676 1433345 1504100 1610500 1880125 2093650 2177396 2721745 2866690 3726697 3760250 4187300 5234125 5443490 5733380 7166725 7453394 7520500 10468250 10886980 13608725 14333450 14906788 18633485 20936500 27217450 28666900 35833625 37266970 48447061 54434900 68043625 71667250 74533940 93167425 96894122 136087250 143334500 186334850 193788244 242235305 272174500 372669700 465837125 484470610 931674250 968941220 1211176525 1863348500 2422353050 4844706100 6055882625 12111765250 24223530500