22353120 has 216 divisors, whose sum is σ = 82378296. Its totient is φ = 5515776.

The previous prime is 22353109. The next prime is 22353127. The reversal of 22353120 is 2135322.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22353093 and 22353102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22353127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 519819 + ... + 519861.

It is an arithmetic number, because the mean of its divisors is an integer number (381381).

Almost surely, 2^22353120 is an apocalyptic number.

22353120 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 22353120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41189148).

22353120 is an abundant number, since it is smaller than the sum of its proper divisors (60025176).

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

22353120 is a wasteful number, since it uses less digits than its factorization.

22353120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 22353120 is about 4727.9086285587. The cubic root of 22353120 is about 281.6951587407.

Adding to 22353120 its reverse (2135322), we get a palindrome (24488442).

The spelling of 22353120 in words is "twenty-two million, three hundred fifty-three thousand, one hundred twenty".