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20522453200 = 2452293175581
BaseRepresentation
bin10011000111001110…
…111100100011010000
31221222020121122022021
4103013032330203100
5314012222000300
613232231221224
71324364655034
oct230716744320
957866548267
1020522453200
118781431927
123b88b17814
131c209c1942
14dc98441c4
15801a6bd1a
hex4c73bc8d0

20522453200 has 120 divisors (see below), whose sum is σ = 51175441080. Its totient is φ = 7899494400.

The previous prime is 20522453191. The next prime is 20522453219. The reversal of 20522453200 is 235422502.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 12403722384 + 8118730816 = 111372^2 + 90104^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 3674410 + ... + 3679990.

It is an arithmetic number, because the mean of its divisors is an integer number (426462009).

Almost surely, 220522453200 is an apocalyptic number.

20522453200 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 20522453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25587720540).

20522453200 is an abundant number, since it is smaller than the sum of its proper divisors (30652987880).

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

20522453200 is a wasteful number, since it uses less digits than its factorization.

20522453200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5945 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 20522453200 its reverse (235422502), we get a palindrome (20757875702).

The spelling of 20522453200 in words is "twenty billion, five hundred twenty-two million, four hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 317 400 464 580 634 725 1160 1268 1450 1585 2320 2536 2900 3170 5072 5581 5800 6340 7925 9193 11162 11600 12680 15850 18386 22324 25360 27905 31700 36772 44648 45965 55810 63400 73544 89296 91930 111620 126800 139525 147088 161849 183860 223240 229825 279050 323698 367720 446480 459650 558100 647396 735440 809245 919300 1116200 1294792 1618490 1769177 1838600 2232400 2589584 3236980 3538354 3677200 4046225 6473960 7076708 8092450 8845885 12947920 14153416 16184900 17691770 28306832 32369800 35383540 44229425 51306133 64739600 70767080 88458850 102612266 141534160 176917700 205224532 256530665 353835400 410449064 513061330 707670800 820898128 1026122660 1282653325 2052245320 2565306650 4104490640 5130613300 10261226600 20522453200