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20222101332 = 22367579161
BaseRepresentation
bin10010110101010101…
…001100011101010100
31221012022110012000000
4102311111030131110
5312403324220312
613142341451300
71314060011436
oct226525143524
957168405000
1020222101332
118637938044
123b04410b30
131ba36cc944
14d9b9bc656
157d54ddadc
hex4b554c754

20222101332 has 84 divisors (see below), whose sum is σ = 53134634196. Its totient is φ = 6731061120.

The previous prime is 20222101313. The next prime is 20222101363. The reversal of 20222101332 is 23310122202.

It can be written as a sum of positive squares in 2 ways, for example, as 9595377936 + 10626723396 = 97956^2 + 103086^2 .

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

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 27 ways as a sum of consecutive naturals, for example, 2202832 + ... + 2211992.

It is an arithmetic number, because the mean of its divisors is an integer number (632555169).

Almost surely, 220222101332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20222101332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26567317098).

20222101332 is an abundant number, since it is smaller than the sum of its proper divisors (32912532864).

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

20222101332 is an equidigital number, since it uses as much as digits as its factorization.

20222101332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9940 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20222101332 its reverse (23310122202), we get a palindrome (43532223534).

The spelling of 20222101332 in words is "twenty billion, two hundred twenty-two million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 757 972 1458 1514 2271 2916 3028 4542 6813 9084 9161 13626 18322 20439 27252 27483 36644 40878 54966 61317 81756 82449 109932 122634 164898 183951 245268 247347 329796 367902 494694 551853 735804 742041 989388 1103706 1484082 2207412 2226123 2968164 4452246 6678369 6934877 8904492 13356738 13869754 20804631 26713476 27739508 41609262 62413893 83218524 124827786 187241679 249655572 374483358 561725037 748966716 1123450074 1685175111 2246900148 3370350222 5055525333 6740700444 10111050666 20222101332