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22321022420 = 2251116051121
BaseRepresentation
bin10100110010011011…
…111100010111010100
32010121120221102110002
4110302123330113110
5331203140204140
614130520550432
71420064363054
oct246233742724
963546842402
1022321022420
1195146a9574
1243ab322418
132149500698
14111a667564
158a98e1415
hex5326fc5d4

22321022420 has 12 divisors (see below), whose sum is σ = 46874147124. Its totient is φ = 8928408960.

The previous prime is 22321022413. The next prime is 22321022501. The reversal of 22321022420 is 2422012322.

It can be written as a sum of positive squares in 2 ways, for example, as 2452428484 + 19868593936 = 49522^2 + 140956^2 .

It is a super-3 number, since 3×223210224203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 1116051121 = 22321022420 / (2 + 2 + 3 + 2 + 1 + 0 + 2 + 2 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 22321022392 and 22321022401.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 558025541 + ... + 558025580.

It is an arithmetic number, because the mean of its divisors is an integer number (3906178927).

Almost surely, 222321022420 is an apocalyptic number.

22321022420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22321022420 is an abundant number, since it is smaller than the sum of its proper divisors (24553124704).

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

22321022420 is a wasteful number, since it uses less digits than its factorization.

22321022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116051130 (or 1116051128 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22321022420 its reverse (2422012322), we get a palindrome (24743034742).

The spelling of 22321022420 in words is "twenty-two billion, three hundred twenty-one million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1116051121 2232102242 4464204484 5580255605 11160511210 22321022420