22306120 has 32 divisors (see below), whose sum is σ = 50715000. Its totient is φ = 8828928.

The previous prime is 22306117. The next prime is 22306139. The reversal of 22306120 is 2160322.

It can be written as a sum of positive squares in 4 ways, for example, as 10458756 + 11847364 = 3234^2 + 3442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22306094 and 22306103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1006 + ... + 6754.

Almost surely, 2^22306120 is an apocalyptic number.

22306120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22306120 is an abundant number, since it is smaller than the sum of its proper divisors (28408880).

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

22306120 is a wasteful number, since it uses less digits than its factorization.

22306120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 22306120 is about 4722.9355278259. The cubic root of 22306120 is about 281.4975880715.

Adding to 22306120 its reverse (2160322), we get a palindrome (24466442).

The spelling of 22306120 in words is "twenty-two million, three hundred six thousand, one hundred twenty".