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22312420 = 2251385817
BaseRepresentation
bin101010100011…
…1010111100100
31112222120212221
41111013113210
521202444140
62114122124
7360436534
oct125072744
945876787
1022312420
111165a719
127580344
134812b20
142d6b4c4
151e5b14a
hex15475e4

22312420 has 24 divisors (see below), whose sum is σ = 50460984. Its totient is φ = 8238336.

The previous prime is 22312393. The next prime is 22312421. The reversal of 22312420 is 2421322.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 22033636 = 528^2 + 4694^2 .

It is a super-3 number, since 3×223124203 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22312394 and 22312403.

It is not an unprimeable number, because it can be changed into a prime (22312421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42649 + ... + 43168.

It is an arithmetic number, because the mean of its divisors is an integer number (2102541).

Almost surely, 222312420 is an apocalyptic number.

22312420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22312420 is an abundant number, since it is smaller than the sum of its proper divisors (28148564).

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

22312420 is a wasteful number, since it uses less digits than its factorization.

22312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85839 (or 85837 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 22312420 is about 4723.6024388172. The cubic root of 22312420 is about 281.5240870454.

Adding to 22312420 its reverse (2421322), we get a palindrome (24733742).

The spelling of 22312420 in words is "twenty-two million, three hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 85817 171634 343268 429085 858170 1115621 1716340 2231242 4462484 5578105 11156210 22312420