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22002202222020 = 22325126653965113
BaseRepresentation
bin1010000000010110010010…
…11100101001110111000100
32212220101112022011211022100
411000023021130221313010
510340441002232101040
6114443401104232100
74430415040062216
oct500131134516704
985811468154270
1022002202222020
117013099615919
12257421100b630
13c37a4cb76c57
14560cab3a65b6
152824db36db30
hex1402c9729dc4

22002202222020 has 72 divisors (see below), whose sum is σ = 66740609511576. Its totient is φ = 5867201521152.

The previous prime is 22002202222009. The next prime is 22002202222079. The reversal of 22002202222020 is 2022220220022.

22002202222020 is a `hidden beast` number, since 2 + 20 + 0 + 220 + 222 + 202 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 417016309824 + 21585185912196 = 645768^2 + 4645986^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22002202221984 and 22002202222002.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22314984 + ... + 23280096.

It is an arithmetic number, because the mean of its divisors is an integer number (926952909883).

Almost surely, 222002202222020 is an apocalyptic number.

22002202222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002202222020 is an abundant number, since it is smaller than the sum of its proper divisors (44738407289556).

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

22002202222020 is a wasteful number, since it uses less digits than its factorization.

22002202222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091781 (or 1091776 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22002202222020 its reverse (2022220220022), we get a palindrome (24024422442042).

The spelling of 22002202222020 in words is "twenty-two trillion, two billion, two hundred two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 126653 253306 379959 506612 633265 759918 965113 1139877 1266530 1519836 1899795 1930226 2279754 2533060 2895339 3799590 3860452 4559508 4825565 5699385 5790678 7599180 8686017 9651130 11398770 11581356 14476695 17372034 19302260 22797540 28953390 34744068 43430085 57906780 86860170 173720340 122234456789 244468913578 366703370367 488937827156 611172283945 733406740734 1100110111101 1222344567890 1466813481468 1833516851835 2200220222202 2444689135780 3667033703670 4400440444404 5500550555505 7334067407340 11001101111010 22002202222020