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20220210000 = 243254224669
BaseRepresentation
bin10010110101001101…
…111110101101010000
31221012011220002120200
4102311031332231100
5312402333210000
613142233135200
71314034643364
oct226515765520
957164802520
1020220210000
118636866061
123b0385a500
131ba31b9b03
14d9b6492a4
157d5268500
hex4b537eb50

20220210000 has 150 divisors (see below), whose sum is σ = 70713309810. Its totient is φ = 5392032000.

The previous prime is 20220209987. The next prime is 20220210007. The reversal of 20220210000 is 1202202.

It can be written as a sum of positive squares in 5 ways, for example, as 11801780496 + 8418429504 = 108636^2 + 91752^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220210007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22335 + ... + 202334.

Almost surely, 220220210000 is an apocalyptic number.

20220210000 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 20220210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35356654905).

20220210000 is an abundant number, since it is smaller than the sum of its proper divisors (50493099810).

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

20220210000 is a wasteful number, since it uses less digits than its factorization.

20220210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224703 (or 224679 counting only the distinct ones).

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

Adding to 20220210000 its reverse (1202202), we get a palindrome (20221412202).

The spelling of 20220210000 in words is "twenty billion, two hundred twenty million, two hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 224669 449338 674007 898676 1123345 1348014 1797352 2022021 2246690 2696028 3370035 3594704 4044042 4493380 5392056 5616725 6740070 8088084 8986760 10110105 10784112 11233450 13480140 16176168 16850175 17973520 20220210 22466900 26960280 28083625 32352336 33700350 40440420 44933800 50550525 53920560 56167250 67400700 80880840 84250875 89867600 101101050 112334500 134801400 140418125 161761680 168501750 202202100 224669000 252752625 269602800 280836250 337003500 404404200 421254375 449338000 505505250 561672500 674007000 808808400 842508750 1011010500 1123345000 1263763125 1348014000 1685017500 2022021000 2246690000 2527526250 3370035000 4044042000 5055052500 6740070000 10110105000 20220210000