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20022204224 = 2611113293859
BaseRepresentation
bin10010101001011010…
…101001011101000000
31220200101022100201102
4102221122221131000
5312001141013344
613110441153532
71306111633151
oct225132513500
956611270642
1020022204224
118545015420
123a6948b8a8
131b71180429
14d7d225928
157c2ba4e4e
hex4a96a9740

20022204224 has 112 divisors (see below), whose sum is σ = 43927410240. Its totient is φ = 8979210240.

The previous prime is 20022204221. The next prime is 20022204259. The reversal of 20022204224 is 42240222002.

It is a junction number, because it is equal to n+sod(n) for n = 20022204196 and 20022204205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022204221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23308307 + ... + 23309165.

It is an arithmetic number, because the mean of its divisors is an integer number (392209020).

Almost surely, 220022204224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20022204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21963705120).

20022204224 is an abundant number, since it is smaller than the sum of its proper divisors (23905206016).

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

20022204224 is a wasteful number, since it uses less digits than its factorization.

20022204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20022204224 its reverse (42240222002), we get a palindrome (62262426226).

The spelling of 20022204224 in words is "twenty billion, twenty-two million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 176 226 293 352 452 586 704 859 904 1172 1243 1718 1808 2344 2486 3223 3436 3616 4688 4972 6446 6872 7232 9376 9449 9944 12892 13744 18752 18898 19888 25784 27488 33109 37796 39776 51568 54976 66218 75592 79552 97067 103136 132436 151184 194134 206272 251687 264872 302368 364199 388268 503374 529744 604736 728398 776536 1006748 1059488 1067737 1456796 1553072 2013496 2118976 2135474 2768557 2913592 3106144 4026992 4270948 5537114 5827184 6212288 8053984 8541896 11074228 11654368 16107968 17083792 22148456 23308736 28440631 34167584 44296912 56881262 68335168 88593824 113762524 177187648 227525048 312846941 455050096 625693882 910100192 1251387764 1820200384 2502775528 5005551056 10011102112 20022204224