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20114244200 = 2352672775419
BaseRepresentation
bin10010101110111001…
…110000001001101000
31220220210111110211102
4102232321300021220
5312143221303300
613123530020532
71311310153241
oct225671601150
956823443742
1020114244200
118591a6a416
123a94277748
131b87267a5b
14d8b543cc8
157cacd60d5
hex4aee70268

20114244200 has 96 divisors (see below), whose sum is σ = 47643751200. Its totient is φ = 7895543040.

The previous prime is 20114244179. The next prime is 20114244217. The reversal of 20114244200 is 244241102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3709091 + ... + 3714509.

It is an arithmetic number, because the mean of its divisors is an integer number (496289075).

Almost surely, 220114244200 is an apocalyptic number.

20114244200 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 20114244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23821875600).

20114244200 is an abundant number, since it is smaller than the sum of its proper divisors (27529507000).

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

20114244200 is a wasteful number, since it uses less digits than its factorization.

20114244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20114244200 its reverse (244241102), we get a palindrome (20358485302).

The spelling of 20114244200 in words is "twenty billion, one hundred fourteen million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 277 335 536 554 670 1108 1340 1385 1675 2216 2680 2770 3350 5419 5540 6700 6925 10838 11080 13400 13850 18559 21676 27095 27700 37118 43352 54190 55400 74236 92795 108380 135475 148472 185590 216760 270950 363073 371180 463975 541900 726146 742360 927950 1083800 1452292 1501063 1815365 1855900 2904584 3002126 3630730 3711800 6004252 7261460 7505315 9076825 12008504 14522920 15010630 18153650 30021260 36307300 37526575 60042520 72614600 75053150 100571221 150106300 201142442 300212600 402284884 502856105 804569768 1005712210 2011424420 2514280525 4022848840 5028561050 10057122100 20114244200