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20220012000 = 253253561667
BaseRepresentation
bin10010110101001101…
…001110010111100000
31221012011112000222100
4102311031032113200
5312402310341000
613142225010400
71314033160206
oct226515162740
957164460870
1020220012000
118636740321
123b03783a00
131ba314a956
14d9b5d7076
157d5229a00
hex4b534e5e0

20220012000 has 144 divisors (see below), whose sum is σ = 71760950352. Its totient is φ = 5391993600.

The previous prime is 20220011963. The next prime is 20220012013. The reversal of 20220012000 is 21002202.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 244834 + ... + 316833.

It is an arithmetic number, because the mean of its divisors is an integer number (498339933).

Almost surely, 220220012000 is an apocalyptic number.

20220012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220012000 is an abundant number, since it is smaller than the sum of its proper divisors (51540938352).

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

20220012000 is a wasteful number, since it uses less digits than its factorization.

20220012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561698 (or 561677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20220012000 its reverse (21002202), we get a palindrome (20241014202).

The spelling of 20220012000 in words is "twenty billion, two hundred twenty million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 561667 1123334 1685001 2246668 2808335 3370002 4493336 5055003 5616670 6740004 8425005 8986672 10110006 11233340 13480008 14041675 16850010 17973344 20220012 22466680 25275015 26960016 28083350 33700020 40440024 42125025 44933360 50550030 53920032 56166700 67400040 70208375 80880048 84250050 89866720 101100060 112333400 126375075 134800080 140416750 161760096 168500100 202200120 210625125 224666800 252750150 269600160 280833500 337000200 404400240 421250250 449333600 505500300 561667000 631875375 674000400 808800480 842500500 1011000600 1123334000 1263750750 1348000800 1685001000 2022001200 2246668000 2527501500 3370002000 4044002400 5055003000 6740004000 10110006000 20220012000