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21220002200 = 2352315364577
BaseRepresentation
bin10011110000110011…
…111000100110011000
32000202212011210122102
4103300303320212120
5321424310032300
613425350142532
71350565020425
oct236063704630
960685153572
1021220002200
118aaa157801
124142651a48
132002383527
141054340d4c
15842e080d5
hex4f0cf8998

21220002200 has 96 divisors (see below), whose sum is σ = 51889714560. Its totient is φ = 8059084800.

The previous prime is 21220002121. The next prime is 21220002203. The reversal of 21220002200 is 220002212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220002203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 296312 + ... + 360888.

It is an arithmetic number, because the mean of its divisors is an integer number (540517860).

Almost surely, 221220002200 is an apocalyptic number.

21220002200 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 21220002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25944857280).

21220002200 is an abundant number, since it is smaller than the sum of its proper divisors (30669712360).

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

21220002200 is a wasteful number, since it uses less digits than its factorization.

21220002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64677 (or 64668 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 21220002200 its reverse (220002212), we get a palindrome (21440004412).

The spelling of 21220002200 in words is "twenty-one billion, two hundred twenty million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 53 62 100 106 124 155 200 212 248 265 310 424 530 620 775 1060 1240 1325 1550 1643 2120 2650 3100 3286 5300 6200 6572 8215 10600 13144 16430 32860 41075 64577 65720 82150 129154 164300 258308 322885 328600 516616 645770 1291540 1614425 2001887 2583080 3228850 3422581 4003774 6457700 6845162 8007548 10009435 12915400 13690324 16015096 17112905 20018870 27380648 34225810 40037740 50047175 68451620 80075480 85564525 100094350 106100011 136903240 171129050 200188700 212200022 342258100 400377400 424400044 530500055 684516200 848800088 1061000110 2122000220 2652500275 4244000440 5305000550 10610001100 21220002200