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20221210200 = 23352149922483
BaseRepresentation
bin10010110101010001…
…110010111001011000
31221012020202220121010
4102311101302321120
5312403112211300
613142310413520
71314046310412
oct226521627130
957166686533
1020221210200
118637389574
123b040612a0
131ba347a149
14d9b8299b2
157d53b4a50
hex4b5472e58

20221210200 has 96 divisors (see below), whose sum is σ = 62730360000. Its totient is φ = 5388485760.

The previous prime is 20221210181. The next prime is 20221210223. The reversal of 20221210200 is 201212202.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 888159 + ... + 910641.

It is an arithmetic number, because the mean of its divisors is an integer number (653441250).

Almost surely, 220221210200 is an apocalyptic number.

20221210200 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 20221210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31365180000).

20221210200 is an abundant number, since it is smaller than the sum of its proper divisors (42509149800).

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

20221210200 is a wasteful number, since it uses less digits than its factorization.

20221210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24001 (or 23992 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20221210200 its reverse (201212202), we get a palindrome (20422422402).

The spelling of 20221210200 in words is "twenty billion, two hundred twenty-one million, two hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1499 2998 4497 5996 7495 8994 11992 14990 17988 22483 22485 29980 35976 37475 44966 44970 59960 67449 74950 89932 89940 112415 112425 134898 149900 179864 179880 224830 224850 269796 299800 337245 449660 449700 539592 562075 674490 899320 899400 1124150 1348980 1686225 2248300 2697960 3372450 4496600 6744900 13489800 33702017 67404034 101106051 134808068 168510085 202212102 269616136 337020170 404424204 505530255 674040340 808848408 842550425 1011060510 1348080680 1685100850 2022121020 2527651275 3370201700 4044242040 5055302550 6740403400 10110605100 20221210200