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20021204500 = 22531121492221
BaseRepresentation
bin10010101001010110…
…110101011000010100
31220200022102120100121
4102221112311120110
5312000412021000
613110403521324
71306100300413
oct225126653024
956608376317
1020021204500
1185444a2300
123a69089244
131b70bc038b
14d7d04547a
157c2a58b1a
hex4a95b5614

20021204500 has 144 divisors (see below), whose sum is σ = 48407158800. Its totient is φ = 7228320000.

The previous prime is 20021204477. The next prime is 20021204503. The reversal of 20021204500 is 540212002.

It can be written as a sum of positive squares in 8 ways, for example, as 8953322884 + 11067881616 = 94622^2 + 105204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20021204503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9013390 + ... + 9015610.

It is an arithmetic number, because the mean of its divisors is an integer number (336160825).

Almost surely, 220021204500 is an apocalyptic number.

20021204500 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 20021204500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24203579400).

20021204500 is an abundant number, since it is smaller than the sum of its proper divisors (28385954300).

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

20021204500 is a wasteful number, since it uses less digits than its factorization.

20021204500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 20021204500 its reverse (540212002), we get a palindrome (20561416502).

The spelling of 20021204500 in words is "twenty billion, twenty-one million, two hundred four thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 125 149 220 242 250 275 298 484 500 550 596 605 745 1100 1210 1375 1490 1639 2221 2420 2750 2980 3025 3278 3725 4442 5500 6050 6556 7450 8195 8884 11105 12100 14900 15125 16390 18029 18625 22210 24431 30250 32780 36058 37250 40975 44420 48862 55525 60500 72116 74500 81950 90145 97724 111050 122155 163900 180290 204875 222100 244310 268741 277625 330929 360580 409750 450725 488620 537482 555250 610775 661858 819500 901450 1074964 1110500 1221550 1323716 1343705 1654645 1802900 2253625 2443100 2687410 3053875 3309290 3640219 4507250 5374820 6107750 6618580 6718525 7280438 8273225 9014500 12215500 13437050 14560876 16546450 18201095 26874100 33092900 33592625 36402190 40042409 41366125 67185250 72804380 80084818 82732250 91005475 134370500 160169636 165464500 182010950 200212045 364021900 400424090 455027375 800848180 910054750 1001060225 1820109500 2002120450 4004240900 5005301125 10010602250 20021204500