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20021224300 = 22527114495791
BaseRepresentation
bin10010101001010110…
…111010001101101100
31220200022110120111221
4102221112322031230
5312000413134200
613110404153124
71306100412220
oct225126721554
956608416457
1020021224300
118544506170
123a690987a4
131b70bc93ac
14d7d04c780
157c2a5e91a
hex4a95ba36c

20021224300 has 144 divisors (see below), whose sum is σ = 54296524800. Its totient is φ = 6225408000.

The previous prime is 20021224291. The next prime is 20021224351. The reversal of 20021224300 is 342212002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3454405 + ... + 3460195.

It is an arithmetic number, because the mean of its divisors is an integer number (377059200).

Almost surely, 220021224300 is an apocalyptic number.

20021224300 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 20021224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27148262400).

20021224300 is an abundant number, since it is smaller than the sum of its proper divisors (34275300500).

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

20021224300 is a wasteful number, since it uses less digits than its factorization.

20021224300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6272 (or 6265 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20021224300 its reverse (342212002), we get a palindrome (20363436302).

The spelling of 20021224300 in words is "twenty billion, twenty-one million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 449 550 700 770 898 1100 1540 1796 1925 2245 3143 3850 4490 4939 5791 6286 7700 8980 9878 11225 11582 12572 15715 19756 22450 23164 24695 28955 31430 34573 40537 44900 49390 57910 62860 63701 69146 78575 81074 98780 115820 123475 127402 138292 144775 157150 162148 172865 202685 246950 254804 289550 314300 318505 345730 405370 445907 493900 579100 637010 691460 810740 864325 891814 1013425 1274020 1592525 1728650 1783628 2026850 2229535 2600159 3185050 3457300 4053700 4459070 5200318 6370100 8918140 10400636 11147675 13000795 18201113 22295350 26001590 28601749 36402226 44590700 52003180 57203498 65003975 72804452 91005565 114406996 130007950 143008745 182011130 200212243 260015900 286017490 364022260 400424486 455027825 572034980 715043725 800848972 910055650 1001061215 1430087450 1820111300 2002122430 2860174900 4004244860 5005306075 10010612150 20021224300