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222010222102020 = 2232511112126374799
BaseRepresentation
bin110010011110101011001000…
…011011001100011000000100
31002010001222012002122000000100
4302132223020123030120010
5213044403413324231040
62104102031003444100
764522465160306262
oct6236531033143004
91063058162560010
10222010222102020
1164815008644770
1220a9709a226630
1396b5621819851
143cb74d018b432
151a9eede533b30
hexc9eac86cc604

222010222102020 has 72 divisors (see below), whose sum is σ = 734652007689600. Its totient is φ = 53820659903040.

The previous prime is 222010222101971. The next prime is 222010222102043. The reversal of 222010222102020 is 20201222010222.

222010222102020 is a `hidden beast` number, since 2 + 220 + 10 + 22 + 210 + 202 + 0 = 666.

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 = 222010222101984 and 222010222102002.

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, 56063185420 + ... + 56063189379.

It is an arithmetic number, because the mean of its divisors is an integer number (10203500106800).

Almost surely, 2222010222102020 is an apocalyptic number.

222010222102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222010222102020 is an abundant number, since it is smaller than the sum of its proper divisors (512641785587580).

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

222010222102020 is a wasteful number, since it uses less digits than its factorization.

222010222102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112126374825 (or 112126374820 counting only the distinct ones).

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

Adding to 222010222102020 its reverse (20201222010222), we get a palindrome (242211444112242).

The spelling of 222010222102020 in words is "two hundred twenty-two trillion, ten billion, two hundred twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 112126374799 224252749598 336379124397 448505499196 560631873995 672758248794 1009137373191 1121263747990 1233390122789 1345516497588 1681895621985 2018274746382 2242527495980 2466780245578 3363791243970 3700170368367 4036549492764 4933560491156 5045686865955 6166950613945 6727582487940 7400340736734 10091373731910 11100511105101 12333901227890 14800681473468 18500851841835 20182747463820 22201022210202 24667802455780 37001703683670 44402044420404 55502555525505 74003407367340 111005111051010 222010222102020