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22102212020200 = 23521324233508399
BaseRepresentation
bin1010000011010000100100…
…11111110000011111101000
32220020221200011020222010121
411001220102133300133220
510344110312234121300
6115001341021253024
74440555263246644
oct501502237603750
986227604228117
1022102212020200
11705154a533494
12258b682104174
13c442ca707420
14565a77857c24
15284de139181a
hex141a127f07e8

22102212020200 has 96 divisors (see below), whose sum is σ = 55363394016000. Its totient is φ = 8157446357760.

The previous prime is 22102212020171. The next prime is 22102212020219. The reversal of 22102212020200 is 202021220122.

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, 4545601 + ... + 8053999.

It is an arithmetic number, because the mean of its divisors is an integer number (576702021000).

Almost surely, 222102212020200 is an apocalyptic number.

22102212020200 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 22102212020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27681697008000).

22102212020200 is an abundant number, since it is smaller than the sum of its proper divisors (33261181995800).

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

22102212020200 is a wasteful number, since it uses less digits than its factorization.

22102212020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510851 (or 3510842 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22102212020200 its reverse (202021220122), we get a palindrome (22304233240322).

The spelling of 22102212020200 in words is "twenty-two trillion, one hundred two billion, two hundred twelve million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2423 2600 4846 9692 12115 19384 24230 31499 48460 60575 62998 96920 121150 125996 157495 242300 251992 314990 484600 629980 787475 1259960 1574950 3149900 3508399 6299800 7016798 14033596 17541995 28067192 35083990 45609187 70167980 87709975 91218374 140335960 175419950 182436748 228045935 350839900 364873496 456091870 701679800 912183740 1140229675 1824367480 2280459350 4560918700 8500850777 9121837400 17001701554 34003403108 42504253885 68006806216 85008507770 110511060101 170017015540 212521269425 221022120202 340034031080 425042538850 442044240404 552555300505 850085077700 884088480808 1105110601010 1700170155400 2210221202020 2762776502525 4420442404040 5525553005050 11051106010100 22102212020200