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20220202020 = 22356710149801
BaseRepresentation
bin10010110101001101…
…111100110000100100
31221012011212200122010
4102311031330300210
5312402332431040
613142233034220
71314034611204
oct226515746044
957164780563
1020220202020
118636860067
123b03855970
131ba31b62a5
14d9b646404
157d5265e80
hex4b537cc24

20220202020 has 96 divisors (see below), whose sum is σ = 58031680896. Its totient is φ = 5258880000.

The previous prime is 20220202001. The next prime is 20220202031. The reversal of 20220202020 is 2020202202.

It is a super-2 number, since 2×202202020202 (a number of 21 digits) contains 22 as substring.

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

20220202020 is a modest number, since divided by 202020 gives 20220 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 20220201987 and 20220202005.

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 31 ways as a sum of consecutive naturals, for example, 381120 + ... + 430920.

It is an arithmetic number, because the mean of its divisors is an integer number (604496676).

Almost surely, 220220202020 is an apocalyptic number.

20220202020 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 20220202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29015840448).

20220202020 is an abundant number, since it is smaller than the sum of its proper divisors (37811478876).

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

20220202020 is a wasteful number, since it uses less digits than its factorization.

20220202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49981 (or 49979 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 20220202020 its reverse (2020202202), we get a palindrome (22240404222).

The spelling of 20220202020 in words is "twenty billion, two hundred twenty million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 101 134 201 202 268 303 335 402 404 505 606 670 804 1005 1010 1212 1340 1515 2010 2020 3030 4020 6060 6767 13534 20301 27068 33835 40602 49801 67670 81204 99602 101505 135340 149403 199204 203010 249005 298806 406020 498010 597612 747015 996020 1494030 2988060 3336667 5029901 6673334 10010001 10059802 13346668 15089703 16683335 20020002 20119604 25149505 30179406 33366670 40040004 50050005 50299010 60358812 66733340 75448515 100100010 100598020 150897030 200200020 301794060 337003367 674006734 1011010101 1348013468 1685016835 2022020202 3370033670 4044040404 5055050505 6740067340 10110101010 20220202020