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212221222020 = 22335393002263
BaseRepresentation
bin1100010110100101011…
…1101101110010000100
3202021210001200002102000
43011221113231302010
511434112113101040
6241254301145300
721222016423623
oct3055127556204
9667701602360
10212221222020
1182003390195
123516855b230
131702125b6b2
14a3b32476ba
1557c1342130
hex31695edc84

212221222020 has 48 divisors (see below), whose sum is σ = 660243803520. Its totient is φ = 56592325728.

The previous prime is 212221222009. The next prime is 212221222027. The reversal of 212221222020 is 20222122212.

212221222020 is a `hidden beast` number, since 212 + 2 + 212 + 220 + 20 = 666.

212221222020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 212221221984 and 212221222002.

It is not an unprimeable number, because it can be changed into a prime (212221222027) 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, 196500592 + ... + 196501671.

It is an arithmetic number, because the mean of its divisors is an integer number (13755079240).

Almost surely, 2212221222020 is an apocalyptic number.

212221222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221222020 is an abundant number, since it is smaller than the sum of its proper divisors (448022581500).

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

212221222020 is a wasteful number, since it uses less digits than its factorization.

212221222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393002281 (or 393002273 counting only the distinct ones).

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

Adding to 212221222020 its reverse (20222122212), we get a palindrome (232443344232).

The spelling of 212221222020 in words is "two hundred twelve billion, two hundred twenty-one 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 90 108 135 180 270 540 393002263 786004526 1179006789 1572009052 1965011315 2358013578 3537020367 3930022630 4716027156 5895033945 7074040734 7860045260 10611061101 11790067890 14148081468 17685101835 21222122202 23580135780 35370203670 42444244404 53055305505 70740407340 106110611010 212221222020