22302120 has 64 divisors (see below), whose sum is σ = 68728320. Its totient is φ = 5785344.

The previous prime is 22302109. The next prime is 22302139. The reversal of 22302120 is 2120322.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22302096 and 22302105.

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 15 ways as a sum of consecutive naturals, for example, 1929 + ... + 6951.

It is an arithmetic number, because the mean of its divisors is an integer number (1073880).

Almost surely, 2^22302120 is an apocalyptic number.

22302120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34364160).

22302120 is an abundant number, since it is smaller than the sum of its proper divisors (46426200).

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

22302120 is a wasteful number, since it uses less digits than its factorization.

22302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 22302120 is about 4722.5120433939. The cubic root of 22302120 is about 281.4807607365.

Adding to 22302120 its reverse (2120322), we get a palindrome (24422442).

It can be divided in two parts, 22302 and 120, that added together give a palindrome (22422).

The spelling of 22302120 in words is "twenty-two million, three hundred two thousand, one hundred twenty".