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222121022220020 = 225711144234430013
BaseRepresentation
bin110010100000010010010100…
…101000000110011011110100
31002010110120011221121011221102
4302200102110220012123310
5213103212323142020040
62104224553334505232
764533466665624260
oct6240222450063364
91063416157534842
10222121022220020
1164857aa63a6320
1220ab4660b05218
1396c2bcba0b251
143cbca0172b0a0
151aa2d269c8515
hexca0494a066f4

222121022220020 has 48 divisors (see below), whose sum is σ = 581553221816448. Its totient is φ = 69232526405760.

The previous prime is 222121022219981. The next prime is 222121022220029. The reversal of 222121022220020 is 20022220121222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222121022219974 and 222121022220001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222121022220029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 72117213467 + ... + 72117216546.

It is an arithmetic number, because the mean of its divisors is an integer number (12115692121176).

Almost surely, 2222121022220020 is an apocalyptic number.

222121022220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222121022220020 is an abundant number, since it is smaller than the sum of its proper divisors (359432199596428).

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

222121022220020 is a wasteful number, since it uses less digits than its factorization.

222121022220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144234430040 (or 144234430038 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 222121022220020 its reverse (20022220121222), we get a palindrome (242143242341242).

The spelling of 222121022220020 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, twenty-two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 144234430013 288468860026 576937720052 721172150065 1009641010091 1442344300130 1586578730143 2019282020182 2884688600260 3173157460286 4038564040364 5048205050455 6346314920572 7932893650715 10096410100910 11106051111001 15865787301430 20192820201820 22212102222002 31731574602860 44424204444004 55530255555005 111060511110010 222121022220020