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2220022222020 = 22335712815543
BaseRepresentation
bin100000010011100011101…
…000101100110011000100
321212020021011110210121000
4200103203220230303010
5242333101142101040
64415510352453300
7316251135351141
oct40234350546304
97766234423530
102220022222020
11786562739809
122ba308b4a230
13131468a3baa5
1479641b9d3c8
153cb3410c130
hex204e3a2ccc4

2220022222020 has 144 divisors (see below), whose sum is σ = 7005392472960. Its totient is φ = 583667098560.

The previous prime is 2220022221959. The next prime is 2220022222027. The reversal of 2220022222020 is 202222200222.

2220022222020 is a `hidden beast` number, since 2 + 2 + 200 + 222 + 220 + 20 = 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 = 2220022221984 and 2220022222002.

It is not an unprimeable number, because it can be changed into a prime (2220022222027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2314369 + ... + 3129911.

It is an arithmetic number, because the mean of its divisors is an integer number (48648558840).

Almost surely, 22220022222020 is an apocalyptic number.

2220022222020 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 2220022222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502696236480).

2220022222020 is an abundant number, since it is smaller than the sum of its proper divisors (4785370250940).

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

2220022222020 is a wasteful number, since it uses less digits than its factorization.

2220022222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815703 (or 815624 counting only the distinct ones).

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

Adding to 2220022222020 its reverse (202222200222), we get a palindrome (2422244422242).

The spelling of 2220022222020 in words is "two trillion, two hundred twenty billion, twenty-two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 710 852 1065 1278 1420 1917 2130 2556 3195 3834 4260 5041 6390 7668 9585 10082 12780 15123 19170 20164 25205 30246 38340 45369 50410 60492 75615 90738 100820 136107 151230 181476 226845 272214 302460 453690 544428 680535 815543 907380 1361070 1631086 2446629 2722140 3262172 4077715 4893258 7339887 8155430 9786516 12233145 14679774 16310860 22019661 24466290 29359548 36699435 44039322 48932580 57903553 73398870 88078644 110098305 115807106 146797740 173710659 220196610 231614212 289517765 347421318 440393220 521131977 579035530 694842636 868553295 1042263954 1158071060 1563395931 1737106590 2084527908 2605659885 3126791862 3474213180 4111152263 5211319770 6253583724 7816979655 8222304526 10422639540 12333456789 15633959310 16444609052 20555761315 24666913578 31267918620 37000370367 41111522630 49333827156 61667283945 74000740734 82223045260 111001111101 123334567890 148001481468 185001851835 222002222202 246669135780 370003703670 444004444404 555005555505 740007407340 1110011111010 2220022222020