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20221221000222 = 23211761134201549
BaseRepresentation
bin1001001100100000111101…
…01100011101010000011110
32122121010111122210200211100
410212100132230131100132
510122301030034001342
6111001300051533530
74154635464344124
oct446203654352036
978533448720740
1020221221000222
1164968540a7850
122327011bba2a6
13b38b11c45778
144dc9d885d914
1525100135de4c
hex12641eb1d41e

20221221000222 has 48 divisors (see below), whose sum is σ = 47858419954800. Its totient is φ = 6119590588800.

The previous prime is 20221221000193. The next prime is 20221221000223. The reversal of 20221221000222 is 22200012212202.

20221221000222 is a `hidden beast` number, since 2 + 0 + 221 + 221 + 0 + 0 + 0 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20221221000195 and 20221221000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221221000223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66950097 + ... + 67251452.

It is an arithmetic number, because the mean of its divisors is an integer number (997050415725).

Almost surely, 220221221000222 is an apocalyptic number.

20221221000222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20221221000222 is an abundant number, since it is smaller than the sum of its proper divisors (27637198954578).

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

20221221000222 is a wasteful number, since it uses less digits than its factorization.

20221221000222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134202329 (or 134202326 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20221221000222 its reverse (22200012212202), we get a palindrome (42421233212424).

The spelling of 20221221000222 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 761 1522 2283 4566 6849 8371 13698 16742 25113 50226 75339 150678 134201549 268403098 402604647 805209294 1207813941 1476217039 2415627882 2952434078 4428651117 8857302234 13285953351 26571906702 102127378789 204254757578 306382136367 612764272734 919146409101 1123401166679 1838292818202 2246802333358 3370203500037 6740407000074 10110610500111 20221221000222