22323120 has 80 divisors (see below), whose sum is σ = 70709760. Its totient is φ = 5823232.

The previous prime is 22323101. The next prime is 22323139. The reversal of 22323120 is 2132322.

It is an interprime number because it is at equal distance from previous prime (22323101) and next prime (22323139).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22323120³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 22323120.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10291 + ... + 12269.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 2^22323120 is an apocalyptic number.

22323120 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 22323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354880).

22323120 is an abundant number, since it is smaller than the sum of its proper divisors (48386640).

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

22323120 is a wasteful number, since it uses less digits than its factorization.

22323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 22323120 is about 4724.7349131988. The cubic root of 22323120 is about 281.5690818112.

Adding to 22323120 its reverse (2132322), we get a palindrome (24455442).

The spelling of 22323120 in words is "twenty-two million, three hundred twenty-three thousand, one hundred twenty".