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2221022122020 = 2232513949154753
BaseRepresentation
bin100000010100011111001…
…111000001000000100100
321212022211211221222112100
4200110133033001000210
5242342123130401040
64420153512052100
7316314666354402
oct40243717010044
97768754858470
102221022122020
11786a260a4449
122ba547994030
13131597c425b0
14796d88c2472
153cb91cbdb30
hex2051f3c1024

2221022122020 has 72 divisors (see below), whose sum is σ = 7255338939576. Its totient is φ = 546713137152.

The previous prime is 2221022122013. The next prime is 2221022122043. The reversal of 2221022122020 is 202212201222.

2221022122020 is a `hidden beast` number, since 2 + 221 + 0 + 221 + 220 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78727381056 + 2142294740964 = 280584^2 + 1463658^2 .

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 = 2221022121984 and 2221022122002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474575037 + ... + 474579716.

It is an arithmetic number, because the mean of its divisors is an integer number (100768596383).

Almost surely, 22221022122020 is an apocalyptic number.

2221022122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221022122020 is an abundant number, since it is smaller than the sum of its proper divisors (5034316817556).

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

2221022122020 is a wasteful number, since it uses less digits than its factorization.

2221022122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949154781 (or 949154776 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2221022122020 its reverse (202212201222), we get a palindrome (2423234323242).

The spelling of 2221022122020 in words is "two trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 949154753 1898309506 2847464259 3796619012 4745773765 5694928518 8542392777 9491547530 11389857036 12339011789 14237321295 17084785554 18983095060 24678023578 28474642590 34169571108 37017035367 42711963885 49356047156 56949285180 61695058945 74034070734 85423927770 111051106101 123390117890 148068141468 170847855540 185085176835 222102212202 246780235780 370170353670 444204424404 555255530505 740340707340 1110511061010 2221022122020