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22221021122200 = 23521071220385091
BaseRepresentation
bin1010000110101101111000…
…00100100000111010011000
32220200022100011112200200201
411003112330010200322120
510403032122401402300
6115132110212511544
74452262422043345
oct503267404407230
986608304480621
1022221021122200
11709797813928a
1225aa6bb01b5b4
13c52582c66204
1456b70895d7cc
15288046a0866a
hex1435bc120e98

22221021122200 has 96 divisors (see below), whose sum is σ = 52151600208960. Its totient is φ = 8804514166400.

The previous prime is 22221021122191. The next prime is 22221021122203. The reversal of 22221021122200 is 222112012222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221021122203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261101655 + ... + 261186745.

It is an arithmetic number, because the mean of its divisors is an integer number (543245835510).

Almost surely, 222221021122200 is an apocalyptic number.

22221021122200 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 22221021122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26075800104480).

22221021122200 is an abundant number, since it is smaller than the sum of its proper divisors (29930579086760).

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

22221021122200 is a wasteful number, since it uses less digits than its factorization.

22221021122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97417 (or 97408 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22221021122200 its reverse (222112012222), we get a palindrome (22443133134422).

The spelling of 22221021122200 in words is "twenty-two trillion, two hundred twenty-one billion, twenty-one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 1070 2140 2675 4280 5350 10700 12203 21400 24406 48812 61015 85091 97624 122030 170182 244060 305075 340364 425455 488120 610150 680728 850910 1220300 1305721 1701820 2127275 2440600 2611442 3403640 4254550 5222884 6528605 8509100 9104737 10445768 13057210 17018200 18209474 26114420 32643025 36418948 45523685 52228840 65286050 72837896 91047370 130572100 182094740 227618425 261144200 364189480 455236850 910473700 1038365473 1820947400 2076730946 4153461892 5191827365 8306923784 10383654730 20767309460 25959136825 41534618920 51918273650 103836547300 111105105611 207673094600 222210211222 444420422444 555525528055 888840844888 1111051056110 2222102112220 2777627640275 4444204224440 5555255280550 11110510561100 22221021122200