Search a number
-
+
21700514600 = 23523125713619
BaseRepresentation
bin10100001101011100…
…111001001100101000
32002000100100100201222
4110031130321030220
5323420312431400
613545153201212
71365521221262
oct241534711450
962010310658
1021700514600
119226413896
124257560208
13207aaa44ab
14109c0a2b32
158701c2185
hex50d739328

21700514600 has 96 divisors (see below), whose sum is σ = 52287724800. Its totient is φ = 8366899200.

The previous prime is 21700514599. The next prime is 21700514609. The reversal of 21700514600 is 641500712.

It is a self number, because there is not a number n which added to its sum of digits gives 21700514600.

It is not an unprimeable number, because it can be changed into a prime (21700514609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1586591 + ... + 1600209.

It is an arithmetic number, because the mean of its divisors is an integer number (544663800).

Almost surely, 221700514600 is an apocalyptic number.

21700514600 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 21700514600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26143862400).

21700514600 is an abundant number, since it is smaller than the sum of its proper divisors (30587210200).

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

21700514600 is a wasteful number, since it uses less digits than its factorization.

21700514600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13923 (or 13914 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The spelling of 21700514600 in words is "twenty-one billion, seven hundred million, five hundred fourteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 257 310 514 620 775 1028 1240 1285 1550 2056 2570 3100 5140 6200 6425 7967 10280 12850 13619 15934 25700 27238 31868 39835 51400 54476 63736 68095 79670 108952 136190 159340 199175 272380 318680 340475 398350 422189 544760 680950 796700 844378 1361900 1593400 1688756 2110945 2723800 3377512 3500083 4221890 7000166 8443780 10554725 14000332 16887560 17500415 21109450 28000664 35000830 42218900 70001660 84437800 87502075 108502573 140003320 175004150 217005146 350008300 434010292 542512865 700016600 868020584 1085025730 2170051460 2712564325 4340102920 5425128650 10850257300 21700514600