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21232222020 = 223251011167889
BaseRepresentation
bin10011110001100010…
…011111111101000100
32000210201011122002100
4103301202133331010
5321440422101040
613430504112100
71351103623632
oct236142377504
960721148070
1021232222020
119006043729
124146765630
132004a715a9
141055c02352
1584401db30
hex4f189ff44

21232222020 has 72 divisors (see below), whose sum is σ = 65042129880. Its totient is φ = 5605862400.

The previous prime is 21232222007. The next prime is 21232222027. The reversal of 21232222020 is 2022223212.

It can be written as a sum of positive squares in 4 ways, for example, as 4103171136 + 17129050884 = 64056^2 + 130878^2 .

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 = 21232221984 and 21232222002.

It is not an unprimeable number, because it can be changed into a prime (21232222027) 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 23 ways as a sum of consecutive naturals, for example, 565765 + ... + 602124.

It is an arithmetic number, because the mean of its divisors is an integer number (903362915).

Almost surely, 221232222020 is an apocalyptic number.

21232222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21232222020 is an abundant number, since it is smaller than the sum of its proper divisors (43809907860).

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

21232222020 is a wasteful number, since it uses less digits than its factorization.

21232222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168005 (or 1168000 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21232222020 its reverse (2022223212), we get a palindrome (23254445232).

The spelling of 21232222020 in words is "twenty-one billion, two hundred thirty-two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 1167889 2335778 3503667 4671556 5839445 7007334 10511001 11678890 14014668 17518335 21022002 23357780 35036670 42044004 52555005 70073340 105110010 117956789 210220020 235913578 353870367 471827156 589783945 707740734 1061611101 1179567890 1415481468 1769351835 2123222202 2359135780 3538703670 4246444404 5308055505 7077407340 10616111010 21232222020