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22211220020220 = 2232571122393891567
BaseRepresentation
bin1010000110011011100111…
…11000010001101111111100
32220122101001010001010100200
411003031303320101233330
510402402034311121340
6115123405453123500
74451464511046120
oct503156370215774
986571033033320
1022211220020220
1170937a8724300
1225a8824789590
13c5168053859a
1456b058db3580
15287b71338330
hex143373e11bfc

22211220020220 has 864 divisors, whose sum is σ = 85262129971200. Its totient is φ = 4581267102720.

The previous prime is 22211220020201. The next prime is 22211220020237. The reversal of 22211220020220 is 2202002211222.

22211220020220 is a `hidden beast` number, since 2 + 221 + 1 + 2 + 200 + 20 + 220 = 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 = 22211220020193 and 22211220020202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14174357877 + ... + 14174359443.

It is an arithmetic number, because the mean of its divisors is an integer number (98683020800).

Almost surely, 222211220020220 is an apocalyptic number.

22211220020220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22211220020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42631064985600).

22211220020220 is an abundant number, since it is smaller than the sum of its proper divisors (63050909950980).

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

22211220020220 is a wasteful number, since it uses less digits than its factorization.

22211220020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2223 counting only the distinct ones).

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

Adding to 22211220020220 its reverse (2202002211222), we get a palindrome (24413222231442).

The spelling of 22211220020220 in words is "twenty-two trillion, two hundred eleven billion, two hundred twenty million, twenty thousand, two hundred twenty".