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22200211000 = 23531119310457
BaseRepresentation
bin10100101011001111…
…000101011000111000
32010022011121120100001
4110223033011120320
5330431223223000
614110523322344
71414066452142
oct245317053070
963264546301
1022200211000
119462493120
1243769803b4
13212a481336
1411085b9c92
1589deca46a
hex52b3c5638

22200211000 has 128 divisors (see below), whose sum is σ = 56970164160. Its totient is φ = 8030208000.

The previous prime is 22200210941. The next prime is 22200211057. The reversal of 22200211000 is 11200222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 2117772 + ... + 2128228.

Almost surely, 222200211000 is an apocalyptic number.

22200211000 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 22200211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28485082080).

22200211000 is an abundant number, since it is smaller than the sum of its proper divisors (34769953160).

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

22200211000 is a wasteful number, since it uses less digits than its factorization.

22200211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10668 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22200211000 its reverse (11200222), we get a palindrome (22211411222).

The spelling of 22200211000 in words is "twenty-two billion, two hundred million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 193 200 220 250 275 386 440 500 550 772 965 1000 1100 1375 1544 1930 2123 2200 2750 3860 4246 4825 5500 7720 8492 9650 10457 10615 11000 16984 19300 20914 21230 24125 38600 41828 42460 48250 52285 53075 83656 84920 96500 104570 106150 115027 193000 209140 212300 230054 261425 265375 418280 424600 460108 522850 530750 575135 920216 1045700 1061500 1150270 1307125 2018201 2091400 2123000 2300540 2614250 2875675 4036402 4601080 5228500 5751350 8072804 10091005 10457000 11502700 14378375 16145608 20182010 22200211 23005400 28756750 40364020 44400422 50455025 57513500 80728040 88800844 100910050 111001055 115027000 177601688 201820100 222002110 252275125 403640200 444004220 504550250 555005275 888008440 1009100500 1110010550 2018201000 2220021100 2775026375 4440042200 5550052750 11100105500 22200211000